What is the Least Common Multiple of 92160 and 92170?

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 92160 and 92170 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92160 and 92170, than apply into the LCM equation.

GCF(92160,92170) = 10
LCM(92160,92170) = ( 92160 × 92170) / 10
LCM(92160,92170) = 8494387200 / 10
LCM(92160,92170) = 849438720

Least Common Multiple (LCM) of 92160 and 92170 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92160 and 92170. First we will calculate the prime factors of 92160 and 92170.

Prime Factorization of 92160

Prime Factorization of 92170

Now multiplying the highest exponent prime factors to calculate the LCM of 92160 and 92170.

LCM(92160,92170) = 2¹¹ × 3² × 5¹ × 13¹ × 709¹
LCM(92160,92170) = 849438720