What is the Least Common Multiple of 73544 and 73557?

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 73544 and 73557 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73544 and 73557, than apply into the LCM equation.

GCF(73544,73557) = 1
LCM(73544,73557) = ( 73544 × 73557) / 1
LCM(73544,73557) = 5409676008 / 1
LCM(73544,73557) = 5409676008

Least Common Multiple (LCM) of 73544 and 73557 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73544 and 73557. First we will calculate the prime factors of 73544 and 73557.

Prime Factorization of 73544

Prime Factorization of 73557

Now multiplying the highest exponent prime factors to calculate the LCM of 73544 and 73557.

LCM(73544,73557) = 2³ × 29¹ × 317¹ × 3² × 11¹ × 743¹
LCM(73544,73557) = 5409676008