What is the Least Common Multiple of 44743 and 44751?

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 44743 and 44751 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44743 and 44751, than apply into the LCM equation.

GCF(44743,44751) = 1
LCM(44743,44751) = ( 44743 × 44751) / 1
LCM(44743,44751) = 2002293993 / 1
LCM(44743,44751) = 2002293993

Least Common Multiple (LCM) of 44743 and 44751 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44743 and 44751. First we will calculate the prime factors of 44743 and 44751.

Prime Factorization of 44743

Prime Factorization of 44751

Now multiplying the highest exponent prime factors to calculate the LCM of 44743 and 44751.

LCM(44743,44751) = 101¹ × 443¹ × 3¹ × 7¹ × 2131¹
LCM(44743,44751) = 2002293993