What is the Least Common Multiple of 39630 and 39648?

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 39648 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 39648, than apply into the LCM equation.

GCF(39630,39648) = 6
LCM(39630,39648) = ( 39630 × 39648) / 6
LCM(39630,39648) = 1571250240 / 6
LCM(39630,39648) = 261875040

Least Common Multiple (LCM) of 39630 and 39648 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39630 and 39648. First we will calculate the prime factors of 39630 and 39648.

Prime Factorization of 39630

Prime Factorization of 39648

Now multiplying the highest exponent prime factors to calculate the LCM of 39630 and 39648.

LCM(39630,39648) = 2⁵ × 3¹ × 5¹ × 1321¹ × 7¹ × 59¹
LCM(39630,39648) = 261875040