What is the Least Common Multiple of 60108 and 60126?

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 60108 and 60126 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60108 and 60126, than apply into the LCM equation.

GCF(60108,60126) = 6
LCM(60108,60126) = ( 60108 × 60126) / 6
LCM(60108,60126) = 3614053608 / 6
LCM(60108,60126) = 602342268

Least Common Multiple (LCM) of 60108 and 60126 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60108 and 60126. First we will calculate the prime factors of 60108 and 60126.

Prime Factorization of 60108

Prime Factorization of 60126

Now multiplying the highest exponent prime factors to calculate the LCM of 60108 and 60126.

LCM(60108,60126) = 2² × 3¹ × 5009¹ × 11¹ × 911¹
LCM(60108,60126) = 602342268