What is the Least Common Multiple of 44036 and 44041?

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 44036 and 44041 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44036 and 44041, than apply into the LCM equation.

GCF(44036,44041) = 1
LCM(44036,44041) = ( 44036 × 44041) / 1
LCM(44036,44041) = 1939389476 / 1
LCM(44036,44041) = 1939389476

Least Common Multiple (LCM) of 44036 and 44041 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44036 and 44041. First we will calculate the prime factors of 44036 and 44041.

Prime Factorization of 44036

Prime Factorization of 44041

Now multiplying the highest exponent prime factors to calculate the LCM of 44036 and 44041.

LCM(44036,44041) = 2² × 101¹ × 109¹ × 44041¹
LCM(44036,44041) = 1939389476