What is the Least Common Multiple of 29532 and 29536?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 29532 and 29536 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29532 and 29536, than apply into the LCM equation.

GCF(29532,29536) = 4
LCM(29532,29536) = ( 29532 × 29536) / 4
LCM(29532,29536) = 872257152 / 4
LCM(29532,29536) = 218064288

Least Common Multiple (LCM) of 29532 and 29536 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29532 and 29536. First we will calculate the prime factors of 29532 and 29536.

Prime Factorization of 29532

Prime Factorization of 29536

Now multiplying the highest exponent prime factors to calculate the LCM of 29532 and 29536.

LCM(29532,29536) = 2⁵ × 3¹ × 23¹ × 107¹ × 13¹ × 71¹
LCM(29532,29536) = 218064288