What is the Least Common Multiple of 28538 and 28557?

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 28538 and 28557 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28538 and 28557, than apply into the LCM equation.

GCF(28538,28557) = 19
LCM(28538,28557) = ( 28538 × 28557) / 19
LCM(28538,28557) = 814959666 / 19
LCM(28538,28557) = 42892614

Least Common Multiple (LCM) of 28538 and 28557 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28538 and 28557. First we will calculate the prime factors of 28538 and 28557.

Prime Factorization of 28538

Prime Factorization of 28557

Now multiplying the highest exponent prime factors to calculate the LCM of 28538 and 28557.

LCM(28538,28557) = 2¹ × 19¹ × 751¹ × 3² × 167¹
LCM(28538,28557) = 42892614