What is the Least Common Multiple of 54921 and 54936?

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 54921 and 54936 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54921 and 54936, than apply into the LCM equation.

GCF(54921,54936) = 3
LCM(54921,54936) = ( 54921 × 54936) / 3
LCM(54921,54936) = 3017140056 / 3
LCM(54921,54936) = 1005713352

Least Common Multiple (LCM) of 54921 and 54936 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54921 and 54936. First we will calculate the prime factors of 54921 and 54936.

Prime Factorization of 54921

Prime Factorization of 54936

Now multiplying the highest exponent prime factors to calculate the LCM of 54921 and 54936.

LCM(54921,54936) = 3² × 18307¹ × 2³ × 7¹ × 109¹
LCM(54921,54936) = 1005713352