What is the Least Common Multiple of 34752 and 34767?

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 34752 and 34767 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34752 and 34767, than apply into the LCM equation.

GCF(34752,34767) = 3
LCM(34752,34767) = ( 34752 × 34767) / 3
LCM(34752,34767) = 1208222784 / 3
LCM(34752,34767) = 402740928

Least Common Multiple (LCM) of 34752 and 34767 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34752 and 34767. First we will calculate the prime factors of 34752 and 34767.

Prime Factorization of 34752

Prime Factorization of 34767

Now multiplying the highest exponent prime factors to calculate the LCM of 34752 and 34767.

LCM(34752,34767) = 2⁶ × 3² × 181¹ × 3863¹
LCM(34752,34767) = 402740928