What is the Least Common Multiple of 34606 and 34622?

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 34606 and 34622 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34606 and 34622, than apply into the LCM equation.

GCF(34606,34622) = 2
LCM(34606,34622) = ( 34606 × 34622) / 2
LCM(34606,34622) = 1198128932 / 2
LCM(34606,34622) = 599064466

Least Common Multiple (LCM) of 34606 and 34622 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34606 and 34622. First we will calculate the prime factors of 34606 and 34622.

Prime Factorization of 34606

Prime Factorization of 34622

Now multiplying the highest exponent prime factors to calculate the LCM of 34606 and 34622.

LCM(34606,34622) = 2¹ × 11³ × 13¹ × 7¹ × 2473¹
LCM(34606,34622) = 599064466