What is the Least Common Multiple of 23451 and 23467?

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 23451 and 23467 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23451 and 23467, than apply into the LCM equation.

GCF(23451,23467) = 1
LCM(23451,23467) = ( 23451 × 23467) / 1
LCM(23451,23467) = 550324617 / 1
LCM(23451,23467) = 550324617

Least Common Multiple (LCM) of 23451 and 23467 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23451 and 23467. First we will calculate the prime factors of 23451 and 23467.

Prime Factorization of 23451

Prime Factorization of 23467

Now multiplying the highest exponent prime factors to calculate the LCM of 23451 and 23467.

LCM(23451,23467) = 3¹ × 7817¹ × 31¹ × 757¹
LCM(23451,23467) = 550324617