What is the Least Common Multiple of 60101 and 60115?

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 60101 and 60115 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60101 and 60115, than apply into the LCM equation.

GCF(60101,60115) = 1
LCM(60101,60115) = ( 60101 × 60115) / 1
LCM(60101,60115) = 3612971615 / 1
LCM(60101,60115) = 3612971615

Least Common Multiple (LCM) of 60101 and 60115 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60101 and 60115. First we will calculate the prime factors of 60101 and 60115.

Prime Factorization of 60101

Prime Factorization of 60115

Now multiplying the highest exponent prime factors to calculate the LCM of 60101 and 60115.

LCM(60101,60115) = 60101¹ × 5¹ × 11¹ × 1093¹
LCM(60101,60115) = 3612971615