What is the Least Common Multiple of 29344 and 29364?

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 29344 and 29364 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29344 and 29364, than apply into the LCM equation.

GCF(29344,29364) = 4
LCM(29344,29364) = ( 29344 × 29364) / 4
LCM(29344,29364) = 861657216 / 4
LCM(29344,29364) = 215414304

Least Common Multiple (LCM) of 29344 and 29364 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29344 and 29364. First we will calculate the prime factors of 29344 and 29364.

Prime Factorization of 29344

Prime Factorization of 29364

Now multiplying the highest exponent prime factors to calculate the LCM of 29344 and 29364.

LCM(29344,29364) = 2⁵ × 7¹ × 131¹ × 3¹ × 2447¹
LCM(29344,29364) = 215414304