What is the Least Common Multiple of 92144 and 92160?

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 92144 and 92160 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92144 and 92160, than apply into the LCM equation.

GCF(92144,92160) = 16
LCM(92144,92160) = ( 92144 × 92160) / 16
LCM(92144,92160) = 8491991040 / 16
LCM(92144,92160) = 530749440

Least Common Multiple (LCM) of 92144 and 92160 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92144 and 92160. First we will calculate the prime factors of 92144 and 92160.

Prime Factorization of 92144

Prime Factorization of 92160

Now multiplying the highest exponent prime factors to calculate the LCM of 92144 and 92160.

LCM(92144,92160) = 2¹¹ × 13¹ × 443¹ × 3² × 5¹
LCM(92144,92160) = 530749440