What is the Least Common Multiple of 44805 and 44823?

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 44805 and 44823 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44805 and 44823, than apply into the LCM equation.

GCF(44805,44823) = 3
LCM(44805,44823) = ( 44805 × 44823) / 3
LCM(44805,44823) = 2008294515 / 3
LCM(44805,44823) = 669431505

Least Common Multiple (LCM) of 44805 and 44823 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44805 and 44823. First we will calculate the prime factors of 44805 and 44823.

Prime Factorization of 44805

Prime Factorization of 44823

Now multiplying the highest exponent prime factors to calculate the LCM of 44805 and 44823.

LCM(44805,44823) = 3¹ × 5¹ × 29¹ × 103¹ × 67¹ × 223¹
LCM(44805,44823) = 669431505