What is the Least Common Multiple of 23438 and 23456?

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 23438 and 23456 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23438 and 23456, than apply into the LCM equation.

GCF(23438,23456) = 2
LCM(23438,23456) = ( 23438 × 23456) / 2
LCM(23438,23456) = 549761728 / 2
LCM(23438,23456) = 274880864

Least Common Multiple (LCM) of 23438 and 23456 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23438 and 23456. First we will calculate the prime factors of 23438 and 23456.

Prime Factorization of 23438

Prime Factorization of 23456

Now multiplying the highest exponent prime factors to calculate the LCM of 23438 and 23456.

LCM(23438,23456) = 2⁵ × 11719¹ × 733¹
LCM(23438,23456) = 274880864