What is the Least Common Multiple of 83745 and 83763?

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 83745 and 83763 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83745 and 83763, than apply into the LCM equation.

GCF(83745,83763) = 9
LCM(83745,83763) = ( 83745 × 83763) / 9
LCM(83745,83763) = 7014732435 / 9
LCM(83745,83763) = 779414715

Least Common Multiple (LCM) of 83745 and 83763 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83745 and 83763. First we will calculate the prime factors of 83745 and 83763.

Prime Factorization of 83745

Prime Factorization of 83763

Now multiplying the highest exponent prime factors to calculate the LCM of 83745 and 83763.

LCM(83745,83763) = 3² × 5¹ × 1861¹ × 41¹ × 227¹
LCM(83745,83763) = 779414715