What is the Least Common Multiple of 44766 and 44771?

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 44766 and 44771 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44766 and 44771, than apply into the LCM equation.

GCF(44766,44771) = 1
LCM(44766,44771) = ( 44766 × 44771) / 1
LCM(44766,44771) = 2004218586 / 1
LCM(44766,44771) = 2004218586

Least Common Multiple (LCM) of 44766 and 44771 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44766 and 44771. First we will calculate the prime factors of 44766 and 44771.

Prime Factorization of 44766

Prime Factorization of 44771

Now multiplying the highest exponent prime factors to calculate the LCM of 44766 and 44771.

LCM(44766,44771) = 2¹ × 3³ × 829¹ × 44771¹
LCM(44766,44771) = 2004218586