What is the Least Common Multiple of 29096 and 29113?

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 29096 and 29113 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29096 and 29113, than apply into the LCM equation.

GCF(29096,29113) = 1
LCM(29096,29113) = ( 29096 × 29113) / 1
LCM(29096,29113) = 847071848 / 1
LCM(29096,29113) = 847071848

Least Common Multiple (LCM) of 29096 and 29113 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29096 and 29113. First we will calculate the prime factors of 29096 and 29113.

Prime Factorization of 29096

Prime Factorization of 29113

Now multiplying the highest exponent prime factors to calculate the LCM of 29096 and 29113.

LCM(29096,29113) = 2³ × 3637¹ × 7¹ × 4159¹
LCM(29096,29113) = 847071848