What is the Least Common Multiple of 538 and 548?

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 538 and 548 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 538 and 548, than apply into the LCM equation.

GCF(538,548) = 2
LCM(538,548) = ( 538 × 548) / 2
LCM(538,548) = 294824 / 2
LCM(538,548) = 147412

Least Common Multiple (LCM) of 538 and 548 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 538 and 548. First we will calculate the prime factors of 538 and 548.

Prime Factorization of 538

Prime Factorization of 548

Now multiplying the highest exponent prime factors to calculate the LCM of 538 and 548.

LCM(538,548) = 2² × 269¹ × 137¹
LCM(538,548) = 147412