What is the Least Common Multiple of 32438 and 32456?

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 32438 and 32456 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32438 and 32456, than apply into the LCM equation.

GCF(32438,32456) = 2
LCM(32438,32456) = ( 32438 × 32456) / 2
LCM(32438,32456) = 1052807728 / 2
LCM(32438,32456) = 526403864

Least Common Multiple (LCM) of 32438 and 32456 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32438 and 32456. First we will calculate the prime factors of 32438 and 32456.

Prime Factorization of 32438

Prime Factorization of 32456

Now multiplying the highest exponent prime factors to calculate the LCM of 32438 and 32456.

LCM(32438,32456) = 2³ × 7² × 331¹ × 4057¹
LCM(32438,32456) = 526403864