What is the Least Common Multiple of 60078 and 60084?

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 60078 and 60084 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60078 and 60084, than apply into the LCM equation.

GCF(60078,60084) = 6
LCM(60078,60084) = ( 60078 × 60084) / 6
LCM(60078,60084) = 3609726552 / 6
LCM(60078,60084) = 601621092

Least Common Multiple (LCM) of 60078 and 60084 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60078 and 60084. First we will calculate the prime factors of 60078 and 60084.

Prime Factorization of 60078

Prime Factorization of 60084

Now multiplying the highest exponent prime factors to calculate the LCM of 60078 and 60084.

LCM(60078,60084) = 2² × 3² × 17¹ × 19¹ × 31¹ × 1669¹
LCM(60078,60084) = 601621092