What is the Least Common Multiple of 83379 and 83387?

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 83379 and 83387 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83379 and 83387, than apply into the LCM equation.

GCF(83379,83387) = 1
LCM(83379,83387) = ( 83379 × 83387) / 1
LCM(83379,83387) = 6952724673 / 1
LCM(83379,83387) = 6952724673

Least Common Multiple (LCM) of 83379 and 83387 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83379 and 83387. First we will calculate the prime factors of 83379 and 83387.

Prime Factorization of 83379

Prime Factorization of 83387

Now multiplying the highest exponent prime factors to calculate the LCM of 83379 and 83387.

LCM(83379,83387) = 3¹ × 27793¹ × 61¹ × 1367¹
LCM(83379,83387) = 6952724673