What is the Least Common Multiple of 29596 and 29600?

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 29596 and 29600 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29596 and 29600, than apply into the LCM equation.

GCF(29596,29600) = 4
LCM(29596,29600) = ( 29596 × 29600) / 4
LCM(29596,29600) = 876041600 / 4
LCM(29596,29600) = 219010400

Least Common Multiple (LCM) of 29596 and 29600 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29596 and 29600. First we will calculate the prime factors of 29596 and 29600.

Prime Factorization of 29596

Prime Factorization of 29600

Now multiplying the highest exponent prime factors to calculate the LCM of 29596 and 29600.

LCM(29596,29600) = 2⁵ × 7² × 151¹ × 5² × 37¹
LCM(29596,29600) = 219010400