What is the Least Common Multiple of 34656 and 34675?

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 34656 and 34675 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34656 and 34675, than apply into the LCM equation.

GCF(34656,34675) = 19
LCM(34656,34675) = ( 34656 × 34675) / 19
LCM(34656,34675) = 1201696800 / 19
LCM(34656,34675) = 63247200

Least Common Multiple (LCM) of 34656 and 34675 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34656 and 34675. First we will calculate the prime factors of 34656 and 34675.

Prime Factorization of 34656

Prime Factorization of 34675

Now multiplying the highest exponent prime factors to calculate the LCM of 34656 and 34675.

LCM(34656,34675) = 2⁵ × 3¹ × 19² × 5² × 73¹
LCM(34656,34675) = 63247200