What is the Least Common Multiple of 57126 and 57132?

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 57126 and 57132 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57126 and 57132, than apply into the LCM equation.

GCF(57126,57132) = 6
LCM(57126,57132) = ( 57126 × 57132) / 6
LCM(57126,57132) = 3263722632 / 6
LCM(57126,57132) = 543953772

Least Common Multiple (LCM) of 57126 and 57132 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57126 and 57132. First we will calculate the prime factors of 57126 and 57132.

Prime Factorization of 57126

Prime Factorization of 57132

Now multiplying the highest exponent prime factors to calculate the LCM of 57126 and 57132.

LCM(57126,57132) = 2² × 3³ × 9521¹ × 23²
LCM(57126,57132) = 543953772