What is the Least Common Multiple of 29964 and 29975?

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 29964 and 29975 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29964 and 29975, than apply into the LCM equation.

GCF(29964,29975) = 11
LCM(29964,29975) = ( 29964 × 29975) / 11
LCM(29964,29975) = 898170900 / 11
LCM(29964,29975) = 81651900

Least Common Multiple (LCM) of 29964 and 29975 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29964 and 29975. First we will calculate the prime factors of 29964 and 29975.

Prime Factorization of 29964

Prime Factorization of 29975

Now multiplying the highest exponent prime factors to calculate the LCM of 29964 and 29975.

LCM(29964,29975) = 2² × 3¹ × 11¹ × 227¹ × 5² × 109¹
LCM(29964,29975) = 81651900