What is the Least Common Multiple of 44768 and 44783?

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 44768 and 44783 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44768 and 44783, than apply into the LCM equation.

GCF(44768,44783) = 1
LCM(44768,44783) = ( 44768 × 44783) / 1
LCM(44768,44783) = 2004845344 / 1
LCM(44768,44783) = 2004845344

Least Common Multiple (LCM) of 44768 and 44783 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44768 and 44783. First we will calculate the prime factors of 44768 and 44783.

Prime Factorization of 44768

Prime Factorization of 44783

Now multiplying the highest exponent prime factors to calculate the LCM of 44768 and 44783.

LCM(44768,44783) = 2⁵ × 1399¹ × 19¹ × 2357¹
LCM(44768,44783) = 2004845344