What is the Least Common Multiple of 36680 and 36685?

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 36680 and 36685 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36680 and 36685, than apply into the LCM equation.

GCF(36680,36685) = 5
LCM(36680,36685) = ( 36680 × 36685) / 5
LCM(36680,36685) = 1345605800 / 5
LCM(36680,36685) = 269121160

Least Common Multiple (LCM) of 36680 and 36685 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36680 and 36685. First we will calculate the prime factors of 36680 and 36685.

Prime Factorization of 36680

Prime Factorization of 36685

Now multiplying the highest exponent prime factors to calculate the LCM of 36680 and 36685.

LCM(36680,36685) = 2³ × 5¹ × 7¹ × 131¹ × 11¹ × 23¹ × 29¹
LCM(36680,36685) = 269121160