What is the Least Common Multiple of 60984 and 60990?

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 60990 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 60990, than apply into the LCM equation.

GCF(60984,60990) = 6
LCM(60984,60990) = ( 60984 × 60990) / 6
LCM(60984,60990) = 3719414160 / 6
LCM(60984,60990) = 619902360

Least Common Multiple (LCM) of 60984 and 60990 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60984 and 60990. First we will calculate the prime factors of 60984 and 60990.

Prime Factorization of 60984

Prime Factorization of 60990

Now multiplying the highest exponent prime factors to calculate the LCM of 60984 and 60990.

LCM(60984,60990) = 2³ × 3² × 7¹ × 11² × 5¹ × 19¹ × 107¹
LCM(60984,60990) = 619902360