What is the Least Common Multiple of 19926 and 19938?

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 19926 and 19938 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19926 and 19938, than apply into the LCM equation.

GCF(19926,19938) = 6
LCM(19926,19938) = ( 19926 × 19938) / 6
LCM(19926,19938) = 397284588 / 6
LCM(19926,19938) = 66214098

Least Common Multiple (LCM) of 19926 and 19938 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19926 and 19938. First we will calculate the prime factors of 19926 and 19938.

Prime Factorization of 19926

Prime Factorization of 19938

Now multiplying the highest exponent prime factors to calculate the LCM of 19926 and 19938.

LCM(19926,19938) = 2¹ × 3⁵ × 41¹ × 3323¹
LCM(19926,19938) = 66214098