What is the Least Common Multiple of 43765 and 43775?

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 43765 and 43775 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43765 and 43775, than apply into the LCM equation.

GCF(43765,43775) = 5
LCM(43765,43775) = ( 43765 × 43775) / 5
LCM(43765,43775) = 1915812875 / 5
LCM(43765,43775) = 383162575

Least Common Multiple (LCM) of 43765 and 43775 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43765 and 43775. First we will calculate the prime factors of 43765 and 43775.

Prime Factorization of 43765

Prime Factorization of 43775

Now multiplying the highest exponent prime factors to calculate the LCM of 43765 and 43775.

LCM(43765,43775) = 5² × 8753¹ × 17¹ × 103¹
LCM(43765,43775) = 383162575