What is the Least Common Multiple of 29212 and 29226?

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 29212 and 29226 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29212 and 29226, than apply into the LCM equation.

GCF(29212,29226) = 2
LCM(29212,29226) = ( 29212 × 29226) / 2
LCM(29212,29226) = 853749912 / 2
LCM(29212,29226) = 426874956

Least Common Multiple (LCM) of 29212 and 29226 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29212 and 29226. First we will calculate the prime factors of 29212 and 29226.

Prime Factorization of 29212

Prime Factorization of 29226

Now multiplying the highest exponent prime factors to calculate the LCM of 29212 and 29226.

LCM(29212,29226) = 2² × 67¹ × 109¹ × 3¹ × 4871¹
LCM(29212,29226) = 426874956