What is the Least Common Multiple of 60144 and 60164?

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 60144 and 60164 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60144 and 60164, than apply into the LCM equation.

GCF(60144,60164) = 4
LCM(60144,60164) = ( 60144 × 60164) / 4
LCM(60144,60164) = 3618503616 / 4
LCM(60144,60164) = 904625904

Least Common Multiple (LCM) of 60144 and 60164 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60144 and 60164. First we will calculate the prime factors of 60144 and 60164.

Prime Factorization of 60144

Prime Factorization of 60164

Now multiplying the highest exponent prime factors to calculate the LCM of 60144 and 60164.

LCM(60144,60164) = 2⁴ × 3¹ × 7¹ × 179¹ × 13² × 89¹
LCM(60144,60164) = 904625904