What is the Least Common Multiple of 34625 and 34634?

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 34634 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 34634, than apply into the LCM equation.

GCF(34625,34634) = 1
LCM(34625,34634) = ( 34625 × 34634) / 1
LCM(34625,34634) = 1199202250 / 1
LCM(34625,34634) = 1199202250

Least Common Multiple (LCM) of 34625 and 34634 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34625 and 34634. First we will calculate the prime factors of 34625 and 34634.

Prime Factorization of 34625

Prime Factorization of 34634

Now multiplying the highest exponent prime factors to calculate the LCM of 34625 and 34634.

LCM(34625,34634) = 5³ × 277¹ × 2¹ × 17317¹
LCM(34625,34634) = 1199202250