What is the Least Common Multiple of 39789 and 39807?

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 39789 and 39807 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39789 and 39807, than apply into the LCM equation.

GCF(39789,39807) = 9
LCM(39789,39807) = ( 39789 × 39807) / 9
LCM(39789,39807) = 1583880723 / 9
LCM(39789,39807) = 175986747

Least Common Multiple (LCM) of 39789 and 39807 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39789 and 39807. First we will calculate the prime factors of 39789 and 39807.

Prime Factorization of 39789

Prime Factorization of 39807

Now multiplying the highest exponent prime factors to calculate the LCM of 39789 and 39807.

LCM(39789,39807) = 3² × 4421¹ × 4423¹
LCM(39789,39807) = 175986747