What is the Least Common Multiple of 34464 and 34472?

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 34464 and 34472 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34464 and 34472, than apply into the LCM equation.

GCF(34464,34472) = 8
LCM(34464,34472) = ( 34464 × 34472) / 8
LCM(34464,34472) = 1188043008 / 8
LCM(34464,34472) = 148505376

Least Common Multiple (LCM) of 34464 and 34472 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34464 and 34472. First we will calculate the prime factors of 34464 and 34472.

Prime Factorization of 34464

Prime Factorization of 34472

Now multiplying the highest exponent prime factors to calculate the LCM of 34464 and 34472.

LCM(34464,34472) = 2⁵ × 3¹ × 359¹ × 31¹ × 139¹
LCM(34464,34472) = 148505376