What is the Least Common Multiple of 83679 and 83685?

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 83679 and 83685 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83679 and 83685, than apply into the LCM equation.

GCF(83679,83685) = 3
LCM(83679,83685) = ( 83679 × 83685) / 3
LCM(83679,83685) = 7002677115 / 3
LCM(83679,83685) = 2334225705

Least Common Multiple (LCM) of 83679 and 83685 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83679 and 83685. First we will calculate the prime factors of 83679 and 83685.

Prime Factorization of 83679

Prime Factorization of 83685

Now multiplying the highest exponent prime factors to calculate the LCM of 83679 and 83685.

LCM(83679,83685) = 3¹ × 27893¹ × 5¹ × 7¹ × 797¹
LCM(83679,83685) = 2334225705