What is the Least Common Multiple of 60102 and 60116?

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 60102 and 60116 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60102 and 60116, than apply into the LCM equation.

GCF(60102,60116) = 14
LCM(60102,60116) = ( 60102 × 60116) / 14
LCM(60102,60116) = 3613091832 / 14
LCM(60102,60116) = 258077988

Least Common Multiple (LCM) of 60102 and 60116 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60102 and 60116. First we will calculate the prime factors of 60102 and 60116.

Prime Factorization of 60102

Prime Factorization of 60116

Now multiplying the highest exponent prime factors to calculate the LCM of 60102 and 60116.

LCM(60102,60116) = 2² × 3⁴ × 7¹ × 53¹ × 19¹ × 113¹
LCM(60102,60116) = 258077988