What is the Least Common Multiple of 44190 and 44199?

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 44190 and 44199 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44190 and 44199, than apply into the LCM equation.

GCF(44190,44199) = 9
LCM(44190,44199) = ( 44190 × 44199) / 9
LCM(44190,44199) = 1953153810 / 9
LCM(44190,44199) = 217017090

Least Common Multiple (LCM) of 44190 and 44199 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44190 and 44199. First we will calculate the prime factors of 44190 and 44199.

Prime Factorization of 44190

Prime Factorization of 44199

Now multiplying the highest exponent prime factors to calculate the LCM of 44190 and 44199.

LCM(44190,44199) = 2¹ × 3³ × 5¹ × 491¹ × 1637¹
LCM(44190,44199) = 217017090