What is the Least Common Multiple of 53928 and 53936?

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 53928 and 53936 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53928 and 53936, than apply into the LCM equation.

GCF(53928,53936) = 8
LCM(53928,53936) = ( 53928 × 53936) / 8
LCM(53928,53936) = 2908660608 / 8
LCM(53928,53936) = 363582576

Least Common Multiple (LCM) of 53928 and 53936 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53928 and 53936. First we will calculate the prime factors of 53928 and 53936.

Prime Factorization of 53928

Prime Factorization of 53936

Now multiplying the highest exponent prime factors to calculate the LCM of 53928 and 53936.

LCM(53928,53936) = 2⁴ × 3² × 7¹ × 107¹ × 3371¹
LCM(53928,53936) = 363582576