What is the Least Common Multiple of 60984 and 60996?

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 60984 and 60996 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60984 and 60996, than apply into the LCM equation.

GCF(60984,60996) = 12
LCM(60984,60996) = ( 60984 × 60996) / 12
LCM(60984,60996) = 3719780064 / 12
LCM(60984,60996) = 309981672

Least Common Multiple (LCM) of 60984 and 60996 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60984 and 60996. First we will calculate the prime factors of 60984 and 60996.

Prime Factorization of 60984

Prime Factorization of 60996

Now multiplying the highest exponent prime factors to calculate the LCM of 60984 and 60996.

LCM(60984,60996) = 2³ × 3² × 7¹ × 11² × 13¹ × 17¹ × 23¹
LCM(60984,60996) = 309981672