What is the Least Common Multiple of 80438 and 80456?

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 80438 and 80456 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80438 and 80456, than apply into the LCM equation.

GCF(80438,80456) = 2
LCM(80438,80456) = ( 80438 × 80456) / 2
LCM(80438,80456) = 6471719728 / 2
LCM(80438,80456) = 3235859864

Least Common Multiple (LCM) of 80438 and 80456 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80438 and 80456. First we will calculate the prime factors of 80438 and 80456.

Prime Factorization of 80438

Prime Factorization of 80456

Now multiplying the highest exponent prime factors to calculate the LCM of 80438 and 80456.

LCM(80438,80456) = 2³ × 37¹ × 1087¹ × 89¹ × 113¹
LCM(80438,80456) = 3235859864