What is the Least Common Multiple of 95340 and 95352?

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 95340 and 95352 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95340 and 95352, than apply into the LCM equation.

GCF(95340,95352) = 12
LCM(95340,95352) = ( 95340 × 95352) / 12
LCM(95340,95352) = 9090859680 / 12
LCM(95340,95352) = 757571640

Least Common Multiple (LCM) of 95340 and 95352 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95340 and 95352. First we will calculate the prime factors of 95340 and 95352.

Prime Factorization of 95340

Prime Factorization of 95352

Now multiplying the highest exponent prime factors to calculate the LCM of 95340 and 95352.

LCM(95340,95352) = 2³ × 3¹ × 5¹ × 7¹ × 227¹ × 29¹ × 137¹
LCM(95340,95352) = 757571640