What is the Least Common Multiple of 34625 and 34645?

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 34625 and 34645 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34625 and 34645, than apply into the LCM equation.

GCF(34625,34645) = 5
LCM(34625,34645) = ( 34625 × 34645) / 5
LCM(34625,34645) = 1199583125 / 5
LCM(34625,34645) = 239916625

Least Common Multiple (LCM) of 34625 and 34645 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34625 and 34645. First we will calculate the prime factors of 34625 and 34645.

Prime Factorization of 34625

Prime Factorization of 34645

Now multiplying the highest exponent prime factors to calculate the LCM of 34625 and 34645.

LCM(34625,34645) = 5³ × 277¹ × 13² × 41¹
LCM(34625,34645) = 239916625