What is the Least Common Multiple of 34325 and 34344?

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 34325 and 34344 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34325 and 34344, than apply into the LCM equation.

GCF(34325,34344) = 1
LCM(34325,34344) = ( 34325 × 34344) / 1
LCM(34325,34344) = 1178857800 / 1
LCM(34325,34344) = 1178857800

Least Common Multiple (LCM) of 34325 and 34344 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34325 and 34344. First we will calculate the prime factors of 34325 and 34344.

Prime Factorization of 34325

Prime Factorization of 34344

Now multiplying the highest exponent prime factors to calculate the LCM of 34325 and 34344.

LCM(34325,34344) = 5² × 1373¹ × 2³ × 3⁴ × 53¹
LCM(34325,34344) = 1178857800