What is the Least Common Multiple of 34904 and 34922?

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 34904 and 34922 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34904 and 34922, than apply into the LCM equation.

GCF(34904,34922) = 2
LCM(34904,34922) = ( 34904 × 34922) / 2
LCM(34904,34922) = 1218917488 / 2
LCM(34904,34922) = 609458744

Least Common Multiple (LCM) of 34904 and 34922 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34904 and 34922. First we will calculate the prime factors of 34904 and 34922.

Prime Factorization of 34904

Prime Factorization of 34922

Now multiplying the highest exponent prime factors to calculate the LCM of 34904 and 34922.

LCM(34904,34922) = 2³ × 4363¹ × 19¹ × 919¹
LCM(34904,34922) = 609458744