What is the Least Common Multiple of 95352 and 95370?

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 95352 and 95370 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95352 and 95370, than apply into the LCM equation.

GCF(95352,95370) = 6
LCM(95352,95370) = ( 95352 × 95370) / 6
LCM(95352,95370) = 9093720240 / 6
LCM(95352,95370) = 1515620040

Least Common Multiple (LCM) of 95352 and 95370 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95352 and 95370. First we will calculate the prime factors of 95352 and 95370.

Prime Factorization of 95352

Prime Factorization of 95370

Now multiplying the highest exponent prime factors to calculate the LCM of 95352 and 95370.

LCM(95352,95370) = 2³ × 3¹ × 29¹ × 137¹ × 5¹ × 11¹ × 17²
LCM(95352,95370) = 1515620040