What is the Least Common Multiple of 29088 and 29100?

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 29088 and 29100 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29088 and 29100, than apply into the LCM equation.

GCF(29088,29100) = 12
LCM(29088,29100) = ( 29088 × 29100) / 12
LCM(29088,29100) = 846460800 / 12
LCM(29088,29100) = 70538400

Least Common Multiple (LCM) of 29088 and 29100 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29088 and 29100. First we will calculate the prime factors of 29088 and 29100.

Prime Factorization of 29088

Prime Factorization of 29100

Now multiplying the highest exponent prime factors to calculate the LCM of 29088 and 29100.

LCM(29088,29100) = 2⁵ × 3² × 101¹ × 5² × 97¹
LCM(29088,29100) = 70538400