What is the Least Common Multiple of 39645 and 39660?

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 39645 and 39660 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39645 and 39660, than apply into the LCM equation.

GCF(39645,39660) = 15
LCM(39645,39660) = ( 39645 × 39660) / 15
LCM(39645,39660) = 1572320700 / 15
LCM(39645,39660) = 104821380

Least Common Multiple (LCM) of 39645 and 39660 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39645 and 39660. First we will calculate the prime factors of 39645 and 39660.

Prime Factorization of 39645

Prime Factorization of 39660

Now multiplying the highest exponent prime factors to calculate the LCM of 39645 and 39660.

LCM(39645,39660) = 3² × 5¹ × 881¹ × 2² × 661¹
LCM(39645,39660) = 104821380