What is the Least Common Multiple of 83745 and 83759?

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 83759 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 83759, than apply into the LCM equation.

GCF(83745,83759) = 1
LCM(83745,83759) = ( 83745 × 83759) / 1
LCM(83745,83759) = 7014397455 / 1
LCM(83745,83759) = 7014397455

Least Common Multiple (LCM) of 83745 and 83759 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83745 and 83759. First we will calculate the prime factors of 83745 and 83759.

Prime Factorization of 83745

Prime Factorization of 83759

Now multiplying the highest exponent prime factors to calculate the LCM of 83745 and 83759.

LCM(83745,83759) = 3² × 5¹ × 1861¹ × 13¹ × 17¹ × 379¹
LCM(83745,83759) = 7014397455