What is the Least Common Multiple of 86600 and 86614?

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 86600 and 86614 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86600 and 86614, than apply into the LCM equation.

GCF(86600,86614) = 2
LCM(86600,86614) = ( 86600 × 86614) / 2
LCM(86600,86614) = 7500772400 / 2
LCM(86600,86614) = 3750386200

Least Common Multiple (LCM) of 86600 and 86614 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86600 and 86614. First we will calculate the prime factors of 86600 and 86614.

Prime Factorization of 86600

Prime Factorization of 86614

Now multiplying the highest exponent prime factors to calculate the LCM of 86600 and 86614.

LCM(86600,86614) = 2³ × 5² × 433¹ × 11¹ × 31¹ × 127¹
LCM(86600,86614) = 3750386200