What is the Least Common Multiple of 41775 and 41783?

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 41775 and 41783 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41775 and 41783, than apply into the LCM equation.

GCF(41775,41783) = 1
LCM(41775,41783) = ( 41775 × 41783) / 1
LCM(41775,41783) = 1745484825 / 1
LCM(41775,41783) = 1745484825

Least Common Multiple (LCM) of 41775 and 41783 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41775 and 41783. First we will calculate the prime factors of 41775 and 41783.

Prime Factorization of 41775

Prime Factorization of 41783

Now multiplying the highest exponent prime factors to calculate the LCM of 41775 and 41783.

LCM(41775,41783) = 3¹ × 5² × 557¹ × 7¹ × 47¹ × 127¹
LCM(41775,41783) = 1745484825