What is the Least Common Multiple of 23438 and 23454?

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 23454 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 23454, than apply into the LCM equation.

GCF(23438,23454) = 2
LCM(23438,23454) = ( 23438 × 23454) / 2
LCM(23438,23454) = 549714852 / 2
LCM(23438,23454) = 274857426

Least Common Multiple (LCM) of 23438 and 23454 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23438 and 23454. First we will calculate the prime factors of 23438 and 23454.

Prime Factorization of 23438

Prime Factorization of 23454

Now multiplying the highest exponent prime factors to calculate the LCM of 23438 and 23454.

LCM(23438,23454) = 2¹ × 11719¹ × 3² × 1303¹
LCM(23438,23454) = 274857426