What is the Least Common Multiple of 86590 and 86600?

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 86590 and 86600 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86590 and 86600, than apply into the LCM equation.

GCF(86590,86600) = 10
LCM(86590,86600) = ( 86590 × 86600) / 10
LCM(86590,86600) = 7498694000 / 10
LCM(86590,86600) = 749869400

Least Common Multiple (LCM) of 86590 and 86600 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86590 and 86600. First we will calculate the prime factors of 86590 and 86600.

Prime Factorization of 86590

Prime Factorization of 86600

Now multiplying the highest exponent prime factors to calculate the LCM of 86590 and 86600.

LCM(86590,86600) = 2³ × 5² × 7¹ × 1237¹ × 433¹
LCM(86590,86600) = 749869400