What is the Least Common Multiple of 42538 and 42556?

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 42538 and 42556 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42538 and 42556, than apply into the LCM equation.

GCF(42538,42556) = 2
LCM(42538,42556) = ( 42538 × 42556) / 2
LCM(42538,42556) = 1810247128 / 2
LCM(42538,42556) = 905123564

Least Common Multiple (LCM) of 42538 and 42556 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42538 and 42556. First we will calculate the prime factors of 42538 and 42556.

Prime Factorization of 42538

Prime Factorization of 42556

Now multiplying the highest exponent prime factors to calculate the LCM of 42538 and 42556.

LCM(42538,42556) = 2² × 21269¹ × 10639¹
LCM(42538,42556) = 905123564