Asked by sara
if two numbers are relatively prime what is there LCM?
Answers
Answered by
mathhelper
In that case it would be their product
e.g. 1/3 + 5/7
= 7/21 + 15/21
= 22/21
e.g. 1/3 + 5/7
= 7/21 + 15/21
= 22/21
Answered by
Bosnian
Two numbers are relatively prime when they have no prime factor in common.
If two numbers are relatively prime then their greatest common factor will be 1.
In this case:
GCF (a, b) = 1
Using the formula for product of two numbers:
a • b = GCF • LCM
a • b = 1 • LCM
a • b = LCM
LCM = a • b
Least common multiple of two relatively prime numbers is the product of those two numbers.
If two numbers are relatively prime then their greatest common factor will be 1.
In this case:
GCF (a, b) = 1
Using the formula for product of two numbers:
a • b = GCF • LCM
a • b = 1 • LCM
a • b = LCM
LCM = a • b
Least common multiple of two relatively prime numbers is the product of those two numbers.
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