What is the Least Common Multiple of 60192 and 60212?

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 60192 and 60212 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60192 and 60212, than apply into the LCM equation.

GCF(60192,60212) = 4
LCM(60192,60212) = ( 60192 × 60212) / 4
LCM(60192,60212) = 3624280704 / 4
LCM(60192,60212) = 906070176

Least Common Multiple (LCM) of 60192 and 60212 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60192 and 60212. First we will calculate the prime factors of 60192 and 60212.

Prime Factorization of 60192

Prime Factorization of 60212

Now multiplying the highest exponent prime factors to calculate the LCM of 60192 and 60212.

LCM(60192,60212) = 2⁵ × 3² × 11¹ × 19¹ × 15053¹
LCM(60192,60212) = 906070176