What is the Least Common Multiple of 34613 and 34626?

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 34613 and 34626 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34613 and 34626, than apply into the LCM equation.

GCF(34613,34626) = 1
LCM(34613,34626) = ( 34613 × 34626) / 1
LCM(34613,34626) = 1198509738 / 1
LCM(34613,34626) = 1198509738

Least Common Multiple (LCM) of 34613 and 34626 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34613 and 34626. First we will calculate the prime factors of 34613 and 34626.

Prime Factorization of 34613

Prime Factorization of 34626

Now multiplying the highest exponent prime factors to calculate the LCM of 34613 and 34626.

LCM(34613,34626) = 34613¹ × 2¹ × 3¹ × 29¹ × 199¹
LCM(34613,34626) = 1198509738