What is the Least Common Multiple of 53928 and 53947?

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 53947 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 53947, than apply into the LCM equation.

GCF(53928,53947) = 1
LCM(53928,53947) = ( 53928 × 53947) / 1
LCM(53928,53947) = 2909253816 / 1
LCM(53928,53947) = 2909253816

Least Common Multiple (LCM) of 53928 and 53947 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53928 and 53947. First we will calculate the prime factors of 53928 and 53947.

Prime Factorization of 53928

Prime Factorization of 53947

Now multiplying the highest exponent prime factors to calculate the LCM of 53928 and 53947.

LCM(53928,53947) = 2³ × 3² × 7¹ × 107¹ × 73¹ × 739¹
LCM(53928,53947) = 2909253816