What is the Least Common Multiple of 53928 and 53938?

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 53938 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 53938, than apply into the LCM equation.

GCF(53928,53938) = 2
LCM(53928,53938) = ( 53928 × 53938) / 2
LCM(53928,53938) = 2908768464 / 2
LCM(53928,53938) = 1454384232

Least Common Multiple (LCM) of 53928 and 53938 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53928 and 53938. First we will calculate the prime factors of 53928 and 53938.

Prime Factorization of 53928

Prime Factorization of 53938

Now multiplying the highest exponent prime factors to calculate the LCM of 53928 and 53938.

LCM(53928,53938) = 2³ × 3² × 7¹ × 107¹ × 149¹ × 181¹
LCM(53928,53938) = 1454384232