What is the Least Common Multiple of 39625 and 39630?

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 39625 and 39630 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39625 and 39630, than apply into the LCM equation.

GCF(39625,39630) = 5
LCM(39625,39630) = ( 39625 × 39630) / 5
LCM(39625,39630) = 1570338750 / 5
LCM(39625,39630) = 314067750

Least Common Multiple (LCM) of 39625 and 39630 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39625 and 39630. First we will calculate the prime factors of 39625 and 39630.

Prime Factorization of 39625

Prime Factorization of 39630

Now multiplying the highest exponent prime factors to calculate the LCM of 39625 and 39630.

LCM(39625,39630) = 5³ × 317¹ × 2¹ × 3¹ × 1321¹
LCM(39625,39630) = 314067750