What is the Least Common Multiple of 71484 and 71493?

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 71484 and 71493 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71484 and 71493, than apply into the LCM equation.

GCF(71484,71493) = 3
LCM(71484,71493) = ( 71484 × 71493) / 3
LCM(71484,71493) = 5110605612 / 3
LCM(71484,71493) = 1703535204

Least Common Multiple (LCM) of 71484 and 71493 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71484 and 71493. First we will calculate the prime factors of 71484 and 71493.

Prime Factorization of 71484

Prime Factorization of 71493

Now multiplying the highest exponent prime factors to calculate the LCM of 71484 and 71493.

LCM(71484,71493) = 2² × 3¹ × 7¹ × 23¹ × 37¹ × 23831¹
LCM(71484,71493) = 1703535204