What is the Least Common Multiple of 83583 and 83591?

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 83583 and 83591 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83583 and 83591, than apply into the LCM equation.

GCF(83583,83591) = 1
LCM(83583,83591) = ( 83583 × 83591) / 1
LCM(83583,83591) = 6986786553 / 1
LCM(83583,83591) = 6986786553

Least Common Multiple (LCM) of 83583 and 83591 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83583 and 83591. First we will calculate the prime factors of 83583 and 83591.

Prime Factorization of 83583

Prime Factorization of 83591

Now multiplying the highest exponent prime factors to calculate the LCM of 83583 and 83591.

LCM(83583,83591) = 3² × 37¹ × 251¹ × 83591¹
LCM(83583,83591) = 6986786553