What is the Least Common Multiple of 18954 and 18972?

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 18954 and 18972 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18954 and 18972, than apply into the LCM equation.

GCF(18954,18972) = 18
LCM(18954,18972) = ( 18954 × 18972) / 18
LCM(18954,18972) = 359595288 / 18
LCM(18954,18972) = 19977516

Least Common Multiple (LCM) of 18954 and 18972 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18954 and 18972. First we will calculate the prime factors of 18954 and 18972.

Prime Factorization of 18954

Prime Factorization of 18972

Now multiplying the highest exponent prime factors to calculate the LCM of 18954 and 18972.

LCM(18954,18972) = 2² × 3⁶ × 13¹ × 17¹ × 31¹
LCM(18954,18972) = 19977516