What is the Least Common Multiple of 44184 and 44198?

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 44184 and 44198 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44184 and 44198, than apply into the LCM equation.

GCF(44184,44198) = 14
LCM(44184,44198) = ( 44184 × 44198) / 14
LCM(44184,44198) = 1952844432 / 14
LCM(44184,44198) = 139488888

Least Common Multiple (LCM) of 44184 and 44198 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44184 and 44198. First we will calculate the prime factors of 44184 and 44198.

Prime Factorization of 44184

Prime Factorization of 44198

Now multiplying the highest exponent prime factors to calculate the LCM of 44184 and 44198.

LCM(44184,44198) = 2³ × 3¹ × 7² × 263¹ × 11¹ × 41¹
LCM(44184,44198) = 139488888