The height of Mateo's tower is a multiple of 9, and the height of Ivy's tower is a multiple of 15. To find the height of the tower where they are the same height, we need to find the least common multiple (LCM) of 9 and 15.
The prime factors of 9 are 3^2 and the prime factors of 15 are 3 * 5. To find the LCM, we take the highest power of each prime factor that appears in either number. Therefore, the LCM of 9 and 15 is 3^2 * 5 = 45.
Therefore, both towers need to be 45 blocks high.
Mateo and Ivy are building towers made of blocks. Mateo is building a tower 9 blocks at a time, and Ivy is building a tower 15 blocks at a time. How many blocks high do both of their towers need to be for them to be the same height?(1 point)
Responses
45 blocks
90 blocks
30 blocks
54 blocks
1 answer