What is the Least Common Multiple of 39630 and 39645?

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 39630 and 39645 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39630 and 39645, than apply into the LCM equation.

GCF(39630,39645) = 15
LCM(39630,39645) = ( 39630 × 39645) / 15
LCM(39630,39645) = 1571131350 / 15
LCM(39630,39645) = 104742090

Least Common Multiple (LCM) of 39630 and 39645 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39630 and 39645. First we will calculate the prime factors of 39630 and 39645.

Prime Factorization of 39630

Prime Factorization of 39645

Now multiplying the highest exponent prime factors to calculate the LCM of 39630 and 39645.

LCM(39630,39645) = 2¹ × 3² × 5¹ × 1321¹ × 881¹
LCM(39630,39645) = 104742090