What is the Least Common Multiple of 94160 and 94170?

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 94160 and 94170 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94160 and 94170, than apply into the LCM equation.

GCF(94160,94170) = 10
LCM(94160,94170) = ( 94160 × 94170) / 10
LCM(94160,94170) = 8867047200 / 10
LCM(94160,94170) = 886704720

Least Common Multiple (LCM) of 94160 and 94170 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94160 and 94170. First we will calculate the prime factors of 94160 and 94170.

Prime Factorization of 94160

Prime Factorization of 94170

Now multiplying the highest exponent prime factors to calculate the LCM of 94160 and 94170.

LCM(94160,94170) = 2⁴ × 5¹ × 11¹ × 107¹ × 3¹ × 43¹ × 73¹
LCM(94160,94170) = 886704720