What is the Least Common Multiple of 32354 and 32372?

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 32354 and 32372 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32354 and 32372, than apply into the LCM equation.

GCF(32354,32372) = 2
LCM(32354,32372) = ( 32354 × 32372) / 2
LCM(32354,32372) = 1047363688 / 2
LCM(32354,32372) = 523681844

Least Common Multiple (LCM) of 32354 and 32372 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32354 and 32372. First we will calculate the prime factors of 32354 and 32372.

Prime Factorization of 32354

Prime Factorization of 32372

Now multiplying the highest exponent prime factors to calculate the LCM of 32354 and 32372.

LCM(32354,32372) = 2² × 7¹ × 2311¹ × 8093¹
LCM(32354,32372) = 523681844