What is the Least Common Multiple of 39660 and 39674?

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 39660 and 39674 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39660 and 39674, than apply into the LCM equation.

GCF(39660,39674) = 2
LCM(39660,39674) = ( 39660 × 39674) / 2
LCM(39660,39674) = 1573470840 / 2
LCM(39660,39674) = 786735420

Least Common Multiple (LCM) of 39660 and 39674 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39660 and 39674. First we will calculate the prime factors of 39660 and 39674.

Prime Factorization of 39660

Prime Factorization of 39674

Now multiplying the highest exponent prime factors to calculate the LCM of 39660 and 39674.

LCM(39660,39674) = 2² × 3¹ × 5¹ × 661¹ × 83¹ × 239¹
LCM(39660,39674) = 786735420