What is the Least Common Multiple of 69212 and 69226?

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 69212 and 69226 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69212 and 69226, than apply into the LCM equation.

GCF(69212,69226) = 2
LCM(69212,69226) = ( 69212 × 69226) / 2
LCM(69212,69226) = 4791269912 / 2
LCM(69212,69226) = 2395634956

Least Common Multiple (LCM) of 69212 and 69226 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69212 and 69226. First we will calculate the prime factors of 69212 and 69226.

Prime Factorization of 69212

Prime Factorization of 69226

Now multiplying the highest exponent prime factors to calculate the LCM of 69212 and 69226.

LCM(69212,69226) = 2² × 11³ × 13¹ × 34613¹
LCM(69212,69226) = 2395634956