What is the Least Common Multiple of 76152 and 76170?

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 76152 and 76170 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76152 and 76170, than apply into the LCM equation.

GCF(76152,76170) = 6
LCM(76152,76170) = ( 76152 × 76170) / 6
LCM(76152,76170) = 5800497840 / 6
LCM(76152,76170) = 966749640

Least Common Multiple (LCM) of 76152 and 76170 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76152 and 76170. First we will calculate the prime factors of 76152 and 76170.

Prime Factorization of 76152

Prime Factorization of 76170

Now multiplying the highest exponent prime factors to calculate the LCM of 76152 and 76170.

LCM(76152,76170) = 2³ × 3¹ × 19¹ × 167¹ × 5¹ × 2539¹
LCM(76152,76170) = 966749640