What is the Least Common Multiple of 53538 and 53544?

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 53538 and 53544 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53538 and 53544, than apply into the LCM equation.

GCF(53538,53544) = 6
LCM(53538,53544) = ( 53538 × 53544) / 6
LCM(53538,53544) = 2866638672 / 6
LCM(53538,53544) = 477773112

Least Common Multiple (LCM) of 53538 and 53544 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53538 and 53544. First we will calculate the prime factors of 53538 and 53544.

Prime Factorization of 53538

Prime Factorization of 53544

Now multiplying the highest exponent prime factors to calculate the LCM of 53538 and 53544.

LCM(53538,53544) = 2³ × 3¹ × 8923¹ × 23¹ × 97¹
LCM(53538,53544) = 477773112