What is the Least Common Multiple of 60966 and 60975?

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 60966 and 60975 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60966 and 60975, than apply into the LCM equation.

GCF(60966,60975) = 9
LCM(60966,60975) = ( 60966 × 60975) / 9
LCM(60966,60975) = 3717401850 / 9
LCM(60966,60975) = 413044650

Least Common Multiple (LCM) of 60966 and 60975 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60966 and 60975. First we will calculate the prime factors of 60966 and 60975.

Prime Factorization of 60966

Prime Factorization of 60975

Now multiplying the highest exponent prime factors to calculate the LCM of 60966 and 60975.

LCM(60966,60975) = 2¹ × 3³ × 1129¹ × 5² × 271¹
LCM(60966,60975) = 413044650