What is the Least Common Multiple of 53514 and 53528?

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 53514 and 53528 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53514 and 53528, than apply into the LCM equation.

GCF(53514,53528) = 2
LCM(53514,53528) = ( 53514 × 53528) / 2
LCM(53514,53528) = 2864497392 / 2
LCM(53514,53528) = 1432248696

Least Common Multiple (LCM) of 53514 and 53528 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53514 and 53528. First we will calculate the prime factors of 53514 and 53528.

Prime Factorization of 53514

Prime Factorization of 53528

Now multiplying the highest exponent prime factors to calculate the LCM of 53514 and 53528.

LCM(53514,53528) = 2³ × 3³ × 991¹ × 6691¹
LCM(53514,53528) = 1432248696