What is the Least Common Multiple of 32675 and 32695?

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 32675 and 32695 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32675 and 32695, than apply into the LCM equation.

GCF(32675,32695) = 5
LCM(32675,32695) = ( 32675 × 32695) / 5
LCM(32675,32695) = 1068309125 / 5
LCM(32675,32695) = 213661825

Least Common Multiple (LCM) of 32675 and 32695 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32675 and 32695. First we will calculate the prime factors of 32675 and 32695.

Prime Factorization of 32675

Prime Factorization of 32695

Now multiplying the highest exponent prime factors to calculate the LCM of 32675 and 32695.

LCM(32675,32695) = 5² × 1307¹ × 13¹ × 503¹
LCM(32675,32695) = 213661825