What is the Least Common Multiple of 69605 and 69625?

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 69605 and 69625 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69605 and 69625, than apply into the LCM equation.

GCF(69605,69625) = 5
LCM(69605,69625) = ( 69605 × 69625) / 5
LCM(69605,69625) = 4846248125 / 5
LCM(69605,69625) = 969249625

Least Common Multiple (LCM) of 69605 and 69625 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69605 and 69625. First we will calculate the prime factors of 69605 and 69625.

Prime Factorization of 69605

Prime Factorization of 69625

Now multiplying the highest exponent prime factors to calculate the LCM of 69605 and 69625.

LCM(69605,69625) = 5³ × 13921¹ × 557¹
LCM(69605,69625) = 969249625