What is the Least Common Multiple of 34613 and 34632?

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 34632 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 34632, than apply into the LCM equation.

GCF(34613,34632) = 1
LCM(34613,34632) = ( 34613 × 34632) / 1
LCM(34613,34632) = 1198717416 / 1
LCM(34613,34632) = 1198717416

Least Common Multiple (LCM) of 34613 and 34632 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34613 and 34632. First we will calculate the prime factors of 34613 and 34632.

Prime Factorization of 34613

Prime Factorization of 34632

Now multiplying the highest exponent prime factors to calculate the LCM of 34613 and 34632.

LCM(34613,34632) = 34613¹ × 2³ × 3² × 13¹ × 37¹
LCM(34613,34632) = 1198717416