What is the Least Common Multiple of 60975 and 60984?

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 60975 and 60984 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60975 and 60984, than apply into the LCM equation.

GCF(60975,60984) = 9
LCM(60975,60984) = ( 60975 × 60984) / 9
LCM(60975,60984) = 3718499400 / 9
LCM(60975,60984) = 413166600

Least Common Multiple (LCM) of 60975 and 60984 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60975 and 60984. First we will calculate the prime factors of 60975 and 60984.

Prime Factorization of 60975

Prime Factorization of 60984

Now multiplying the highest exponent prime factors to calculate the LCM of 60975 and 60984.

LCM(60975,60984) = 3² × 5² × 271¹ × 2³ × 7¹ × 11²
LCM(60975,60984) = 413166600