What is the Least Common Multiple of 18954 and 18966?

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 18966 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 18966, than apply into the LCM equation.

GCF(18954,18966) = 6
LCM(18954,18966) = ( 18954 × 18966) / 6
LCM(18954,18966) = 359481564 / 6
LCM(18954,18966) = 59913594

Least Common Multiple (LCM) of 18954 and 18966 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18954 and 18966. First we will calculate the prime factors of 18954 and 18966.

Prime Factorization of 18954

Prime Factorization of 18966

Now multiplying the highest exponent prime factors to calculate the LCM of 18954 and 18966.

LCM(18954,18966) = 2¹ × 3⁶ × 13¹ × 29¹ × 109¹
LCM(18954,18966) = 59913594