What is the Least Common Multiple of 39614 and 39625?

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 39614 and 39625 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39614 and 39625, than apply into the LCM equation.

GCF(39614,39625) = 1
LCM(39614,39625) = ( 39614 × 39625) / 1
LCM(39614,39625) = 1569704750 / 1
LCM(39614,39625) = 1569704750

Least Common Multiple (LCM) of 39614 and 39625 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39614 and 39625. First we will calculate the prime factors of 39614 and 39625.

Prime Factorization of 39614

Prime Factorization of 39625

Now multiplying the highest exponent prime factors to calculate the LCM of 39614 and 39625.

LCM(39614,39625) = 2¹ × 29¹ × 683¹ × 5³ × 317¹
LCM(39614,39625) = 1569704750