What is the Least Common Multiple of 53712 and 53721?

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 53712 and 53721 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53712 and 53721, than apply into the LCM equation.

GCF(53712,53721) = 9
LCM(53712,53721) = ( 53712 × 53721) / 9
LCM(53712,53721) = 2885462352 / 9
LCM(53712,53721) = 320606928

Least Common Multiple (LCM) of 53712 and 53721 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53712 and 53721. First we will calculate the prime factors of 53712 and 53721.

Prime Factorization of 53712

Prime Factorization of 53721

Now multiplying the highest exponent prime factors to calculate the LCM of 53712 and 53721.

LCM(53712,53721) = 2⁴ × 3² × 373¹ × 47¹ × 127¹
LCM(53712,53721) = 320606928