What is the Least Common Multiple of 44198 and 44203?

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 44203 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 44203, than apply into the LCM equation.

GCF(44198,44203) = 1
LCM(44198,44203) = ( 44198 × 44203) / 1
LCM(44198,44203) = 1953684194 / 1
LCM(44198,44203) = 1953684194

Least Common Multiple (LCM) of 44198 and 44203 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44198 and 44203. First we will calculate the prime factors of 44198 and 44203.

Prime Factorization of 44198

Prime Factorization of 44203

Now multiplying the highest exponent prime factors to calculate the LCM of 44198 and 44203.

LCM(44198,44203) = 2¹ × 7² × 11¹ × 41¹ × 44203¹
LCM(44198,44203) = 1953684194