What is the Least Common Multiple of 34452 and 34464?

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 34452 and 34464 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34452 and 34464, than apply into the LCM equation.

GCF(34452,34464) = 12
LCM(34452,34464) = ( 34452 × 34464) / 12
LCM(34452,34464) = 1187353728 / 12
LCM(34452,34464) = 98946144

Least Common Multiple (LCM) of 34452 and 34464 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34452 and 34464. First we will calculate the prime factors of 34452 and 34464.

Prime Factorization of 34452

Prime Factorization of 34464

Now multiplying the highest exponent prime factors to calculate the LCM of 34452 and 34464.

LCM(34452,34464) = 2⁵ × 3³ × 11¹ × 29¹ × 359¹
LCM(34452,34464) = 98946144