What is the Least Common Multiple of 57066 and 57080?

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 57066 and 57080 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57066 and 57080, than apply into the LCM equation.

GCF(57066,57080) = 2
LCM(57066,57080) = ( 57066 × 57080) / 2
LCM(57066,57080) = 3257327280 / 2
LCM(57066,57080) = 1628663640

Least Common Multiple (LCM) of 57066 and 57080 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57066 and 57080. First we will calculate the prime factors of 57066 and 57080.

Prime Factorization of 57066

Prime Factorization of 57080

Now multiplying the highest exponent prime factors to calculate the LCM of 57066 and 57080.

LCM(57066,57080) = 2³ × 3¹ × 9511¹ × 5¹ × 1427¹
LCM(57066,57080) = 1628663640