What is the Least Common Multiple of 18972 and 18984?

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 18972 and 18984 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18972 and 18984, than apply into the LCM equation.

GCF(18972,18984) = 12
LCM(18972,18984) = ( 18972 × 18984) / 12
LCM(18972,18984) = 360164448 / 12
LCM(18972,18984) = 30013704

Least Common Multiple (LCM) of 18972 and 18984 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18972 and 18984. First we will calculate the prime factors of 18972 and 18984.

Prime Factorization of 18972

Prime Factorization of 18984

Now multiplying the highest exponent prime factors to calculate the LCM of 18972 and 18984.

LCM(18972,18984) = 2³ × 3² × 17¹ × 31¹ × 7¹ × 113¹
LCM(18972,18984) = 30013704