What is the Least Common Multiple of 60105 and 60113?

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 60105 and 60113 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60105 and 60113, than apply into the LCM equation.

GCF(60105,60113) = 1
LCM(60105,60113) = ( 60105 × 60113) / 1
LCM(60105,60113) = 3613091865 / 1
LCM(60105,60113) = 3613091865

Least Common Multiple (LCM) of 60105 and 60113 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60105 and 60113. First we will calculate the prime factors of 60105 and 60113.

Prime Factorization of 60105

Prime Factorization of 60113

Now multiplying the highest exponent prime factors to calculate the LCM of 60105 and 60113.

LCM(60105,60113) = 3¹ × 5¹ × 4007¹ × 47¹ × 1279¹
LCM(60105,60113) = 3613091865