What is the Least Common Multiple of 34658 and 34664?

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 34658 and 34664 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34658 and 34664, than apply into the LCM equation.

GCF(34658,34664) = 2
LCM(34658,34664) = ( 34658 × 34664) / 2
LCM(34658,34664) = 1201384912 / 2
LCM(34658,34664) = 600692456

Least Common Multiple (LCM) of 34658 and 34664 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34658 and 34664. First we will calculate the prime factors of 34658 and 34664.

Prime Factorization of 34658

Prime Factorization of 34664

Now multiplying the highest exponent prime factors to calculate the LCM of 34658 and 34664.

LCM(34658,34664) = 2³ × 13¹ × 31¹ × 43¹ × 7¹ × 619¹
LCM(34658,34664) = 600692456