What is the Least Common Multiple of 60149 and 60166?

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 60149 and 60166 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60149 and 60166, than apply into the LCM equation.

GCF(60149,60166) = 1
LCM(60149,60166) = ( 60149 × 60166) / 1
LCM(60149,60166) = 3618924734 / 1
LCM(60149,60166) = 3618924734

Least Common Multiple (LCM) of 60149 and 60166 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60149 and 60166. First we will calculate the prime factors of 60149 and 60166.

Prime Factorization of 60149

Prime Factorization of 60166

Now multiplying the highest exponent prime factors to calculate the LCM of 60149 and 60166.

LCM(60149,60166) = 60149¹ × 2¹ × 67¹ × 449¹
LCM(60149,60166) = 3618924734