What is the Least Common Multiple of 19664 and 19678?

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 19664 and 19678 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19664 and 19678, than apply into the LCM equation.

GCF(19664,19678) = 2
LCM(19664,19678) = ( 19664 × 19678) / 2
LCM(19664,19678) = 386948192 / 2
LCM(19664,19678) = 193474096

Least Common Multiple (LCM) of 19664 and 19678 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19664 and 19678. First we will calculate the prime factors of 19664 and 19678.

Prime Factorization of 19664

Prime Factorization of 19678

Now multiplying the highest exponent prime factors to calculate the LCM of 19664 and 19678.

LCM(19664,19678) = 2⁴ × 1229¹ × 9839¹
LCM(19664,19678) = 193474096