What is the Least Common Multiple of 39729 and 39736?

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 39729 and 39736 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39729 and 39736, than apply into the LCM equation.

GCF(39729,39736) = 1
LCM(39729,39736) = ( 39729 × 39736) / 1
LCM(39729,39736) = 1578671544 / 1
LCM(39729,39736) = 1578671544

Least Common Multiple (LCM) of 39729 and 39736 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39729 and 39736. First we will calculate the prime factors of 39729 and 39736.

Prime Factorization of 39729

Prime Factorization of 39736

Now multiplying the highest exponent prime factors to calculate the LCM of 39729 and 39736.

LCM(39729,39736) = 3¹ × 17¹ × 19¹ × 41¹ × 2³ × 4967¹
LCM(39729,39736) = 1578671544