What is the Least Common Multiple of 62438 and 62456?

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 62438 and 62456 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62438 and 62456, than apply into the LCM equation.

GCF(62438,62456) = 2
LCM(62438,62456) = ( 62438 × 62456) / 2
LCM(62438,62456) = 3899627728 / 2
LCM(62438,62456) = 1949813864

Least Common Multiple (LCM) of 62438 and 62456 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62438 and 62456. First we will calculate the prime factors of 62438 and 62456.

Prime Factorization of 62438

Prime Factorization of 62456

Now multiplying the highest exponent prime factors to calculate the LCM of 62438 and 62456.

LCM(62438,62456) = 2³ × 31219¹ × 37¹ × 211¹
LCM(62438,62456) = 1949813864