What is the Least Common Multiple of 32921 and 32936?

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 32921 and 32936 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32921 and 32936, than apply into the LCM equation.

GCF(32921,32936) = 1
LCM(32921,32936) = ( 32921 × 32936) / 1
LCM(32921,32936) = 1084286056 / 1
LCM(32921,32936) = 1084286056

Least Common Multiple (LCM) of 32921 and 32936 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32921 and 32936. First we will calculate the prime factors of 32921 and 32936.

Prime Factorization of 32921

Prime Factorization of 32936

Now multiplying the highest exponent prime factors to calculate the LCM of 32921 and 32936.

LCM(32921,32936) = 7¹ × 4703¹ × 2³ × 23¹ × 179¹
LCM(32921,32936) = 1084286056