What is the Least Common Multiple of 69199 and 69212?

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 69199 and 69212 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69199 and 69212, than apply into the LCM equation.

GCF(69199,69212) = 13
LCM(69199,69212) = ( 69199 × 69212) / 13
LCM(69199,69212) = 4789401188 / 13
LCM(69199,69212) = 368415476

Least Common Multiple (LCM) of 69199 and 69212 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69199 and 69212. First we will calculate the prime factors of 69199 and 69212.

Prime Factorization of 69199

Prime Factorization of 69212

Now multiplying the highest exponent prime factors to calculate the LCM of 69199 and 69212.

LCM(69199,69212) = 13¹ × 5323¹ × 2² × 11³
LCM(69199,69212) = 368415476