What is the Least Common Multiple of 72156 and 72170?

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 72156 and 72170 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72156 and 72170, than apply into the LCM equation.

GCF(72156,72170) = 14
LCM(72156,72170) = ( 72156 × 72170) / 14
LCM(72156,72170) = 5207498520 / 14
LCM(72156,72170) = 371964180

Least Common Multiple (LCM) of 72156 and 72170 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72156 and 72170. First we will calculate the prime factors of 72156 and 72170.

Prime Factorization of 72156

Prime Factorization of 72170

Now multiplying the highest exponent prime factors to calculate the LCM of 72156 and 72170.

LCM(72156,72170) = 2² × 3¹ × 7¹ × 859¹ × 5¹ × 1031¹
LCM(72156,72170) = 371964180