What is the Least Common Multiple of 39664 and 39678?

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 39664 and 39678 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39664 and 39678, than apply into the LCM equation.

GCF(39664,39678) = 2
LCM(39664,39678) = ( 39664 × 39678) / 2
LCM(39664,39678) = 1573788192 / 2
LCM(39664,39678) = 786894096

Least Common Multiple (LCM) of 39664 and 39678 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39664 and 39678. First we will calculate the prime factors of 39664 and 39678.

Prime Factorization of 39664

Prime Factorization of 39678

Now multiplying the highest exponent prime factors to calculate the LCM of 39664 and 39678.

LCM(39664,39678) = 2⁴ × 37¹ × 67¹ × 3¹ × 17¹ × 389¹
LCM(39664,39678) = 786894096