What is the Least Common Multiple of 29112 and 29116?

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 29112 and 29116 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29112 and 29116, than apply into the LCM equation.

GCF(29112,29116) = 4
LCM(29112,29116) = ( 29112 × 29116) / 4
LCM(29112,29116) = 847624992 / 4
LCM(29112,29116) = 211906248

Least Common Multiple (LCM) of 29112 and 29116 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29112 and 29116. First we will calculate the prime factors of 29112 and 29116.

Prime Factorization of 29112

Prime Factorization of 29116

Now multiplying the highest exponent prime factors to calculate the LCM of 29112 and 29116.

LCM(29112,29116) = 2³ × 3¹ × 1213¹ × 29¹ × 251¹
LCM(29112,29116) = 211906248