What is the Least Common Multiple of 86580 and 86594?

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 86580 and 86594 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86580 and 86594, than apply into the LCM equation.

GCF(86580,86594) = 2
LCM(86580,86594) = ( 86580 × 86594) / 2
LCM(86580,86594) = 7497308520 / 2
LCM(86580,86594) = 3748654260

Least Common Multiple (LCM) of 86580 and 86594 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86580 and 86594. First we will calculate the prime factors of 86580 and 86594.

Prime Factorization of 86580

Prime Factorization of 86594

Now multiplying the highest exponent prime factors to calculate the LCM of 86580 and 86594.

LCM(86580,86594) = 2² × 3² × 5¹ × 13¹ × 37¹ × 29¹ × 1493¹
LCM(86580,86594) = 3748654260