What is the Least Common Multiple of 76170 and 76188?

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 76170 and 76188 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76170 and 76188, than apply into the LCM equation.

GCF(76170,76188) = 6
LCM(76170,76188) = ( 76170 × 76188) / 6
LCM(76170,76188) = 5803239960 / 6
LCM(76170,76188) = 967206660

Least Common Multiple (LCM) of 76170 and 76188 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76170 and 76188. First we will calculate the prime factors of 76170 and 76188.

Prime Factorization of 76170

Prime Factorization of 76188

Now multiplying the highest exponent prime factors to calculate the LCM of 76170 and 76188.

LCM(76170,76188) = 2² × 3¹ × 5¹ × 2539¹ × 7¹ × 907¹
LCM(76170,76188) = 967206660