What is the Least Common Multiple of 43775 and 43790?

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 43775 and 43790 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43775 and 43790, than apply into the LCM equation.

GCF(43775,43790) = 5
LCM(43775,43790) = ( 43775 × 43790) / 5
LCM(43775,43790) = 1916907250 / 5
LCM(43775,43790) = 383381450

Least Common Multiple (LCM) of 43775 and 43790 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43775 and 43790. First we will calculate the prime factors of 43775 and 43790.

Prime Factorization of 43775

Prime Factorization of 43790

Now multiplying the highest exponent prime factors to calculate the LCM of 43775 and 43790.

LCM(43775,43790) = 5² × 17¹ × 103¹ × 2¹ × 29¹ × 151¹
LCM(43775,43790) = 383381450