What is the Least Common Multiple of 40538 and 40548?

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 40538 and 40548 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40538 and 40548, than apply into the LCM equation.

GCF(40538,40548) = 2
LCM(40538,40548) = ( 40538 × 40548) / 2
LCM(40538,40548) = 1643734824 / 2
LCM(40538,40548) = 821867412

Least Common Multiple (LCM) of 40538 and 40548 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40538 and 40548. First we will calculate the prime factors of 40538 and 40548.

Prime Factorization of 40538

Prime Factorization of 40548

Now multiplying the highest exponent prime factors to calculate the LCM of 40538 and 40548.

LCM(40538,40548) = 2² × 20269¹ × 3¹ × 31¹ × 109¹
LCM(40538,40548) = 821867412