What is the Least Common Multiple of 34312 and 34325?

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 34312 and 34325 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34312 and 34325, than apply into the LCM equation.

GCF(34312,34325) = 1
LCM(34312,34325) = ( 34312 × 34325) / 1
LCM(34312,34325) = 1177759400 / 1
LCM(34312,34325) = 1177759400

Least Common Multiple (LCM) of 34312 and 34325 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34312 and 34325. First we will calculate the prime factors of 34312 and 34325.

Prime Factorization of 34312

Prime Factorization of 34325

Now multiplying the highest exponent prime factors to calculate the LCM of 34312 and 34325.

LCM(34312,34325) = 2³ × 4289¹ × 5² × 1373¹
LCM(34312,34325) = 1177759400