What is the Least Common Multiple of 39660 and 39672?

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 39672 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 39672, than apply into the LCM equation.

GCF(39660,39672) = 12
LCM(39660,39672) = ( 39660 × 39672) / 12
LCM(39660,39672) = 1573391520 / 12
LCM(39660,39672) = 131115960

Least Common Multiple (LCM) of 39660 and 39672 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39660 and 39672. First we will calculate the prime factors of 39660 and 39672.

Prime Factorization of 39660

Prime Factorization of 39672

Now multiplying the highest exponent prime factors to calculate the LCM of 39660 and 39672.

LCM(39660,39672) = 2³ × 3² × 5¹ × 661¹ × 19¹ × 29¹
LCM(39660,39672) = 131115960