What is the Least Common Multiple of 34611 and 34630?

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 34611 and 34630 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34611 and 34630, than apply into the LCM equation.

GCF(34611,34630) = 1
LCM(34611,34630) = ( 34611 × 34630) / 1
LCM(34611,34630) = 1198578930 / 1
LCM(34611,34630) = 1198578930

Least Common Multiple (LCM) of 34611 and 34630 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34611 and 34630. First we will calculate the prime factors of 34611 and 34630.

Prime Factorization of 34611

Prime Factorization of 34630

Now multiplying the highest exponent prime factors to calculate the LCM of 34611 and 34630.

LCM(34611,34630) = 3¹ × 83¹ × 139¹ × 2¹ × 5¹ × 3463¹
LCM(34611,34630) = 1198578930