What is the Least Common Multiple of 57660 and 57670?

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 57660 and 57670 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57660 and 57670, than apply into the LCM equation.

GCF(57660,57670) = 10
LCM(57660,57670) = ( 57660 × 57670) / 10
LCM(57660,57670) = 3325252200 / 10
LCM(57660,57670) = 332525220

Least Common Multiple (LCM) of 57660 and 57670 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57660 and 57670. First we will calculate the prime factors of 57660 and 57670.

Prime Factorization of 57660

Prime Factorization of 57670

Now multiplying the highest exponent prime factors to calculate the LCM of 57660 and 57670.

LCM(57660,57670) = 2² × 3¹ × 5¹ × 31² × 73¹ × 79¹
LCM(57660,57670) = 332525220