What is the Least Common Multiple of 44775 and 44781?

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 44775 and 44781 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44775 and 44781, than apply into the LCM equation.

GCF(44775,44781) = 3
LCM(44775,44781) = ( 44775 × 44781) / 3
LCM(44775,44781) = 2005069275 / 3
LCM(44775,44781) = 668356425

Least Common Multiple (LCM) of 44775 and 44781 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44775 and 44781. First we will calculate the prime factors of 44775 and 44781.

Prime Factorization of 44775

Prime Factorization of 44781

Now multiplying the highest exponent prime factors to calculate the LCM of 44775 and 44781.

LCM(44775,44781) = 3² × 5² × 199¹ × 11¹ × 23¹ × 59¹
LCM(44775,44781) = 668356425