What is the Least Common Multiple of 29088 and 29096?

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 29096 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 29096, than apply into the LCM equation.

GCF(29088,29096) = 8
LCM(29088,29096) = ( 29088 × 29096) / 8
LCM(29088,29096) = 846344448 / 8
LCM(29088,29096) = 105793056

Least Common Multiple (LCM) of 29088 and 29096 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29088 and 29096. First we will calculate the prime factors of 29088 and 29096.

Prime Factorization of 29088

Prime Factorization of 29096

Now multiplying the highest exponent prime factors to calculate the LCM of 29088 and 29096.

LCM(29088,29096) = 2⁵ × 3² × 101¹ × 3637¹
LCM(29088,29096) = 105793056