What is the Least Common Multiple of 44198 and 44212?

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 44198 and 44212 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44198 and 44212, than apply into the LCM equation.

GCF(44198,44212) = 14
LCM(44198,44212) = ( 44198 × 44212) / 14
LCM(44198,44212) = 1954081976 / 14
LCM(44198,44212) = 139577284

Least Common Multiple (LCM) of 44198 and 44212 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44198 and 44212. First we will calculate the prime factors of 44198 and 44212.

Prime Factorization of 44198

Prime Factorization of 44212

Now multiplying the highest exponent prime factors to calculate the LCM of 44198 and 44212.

LCM(44198,44212) = 2² × 7² × 11¹ × 41¹ × 1579¹
LCM(44198,44212) = 139577284