What is the Least Common Multiple of 94680 and 94686?

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 94680 and 94686 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94680 and 94686, than apply into the LCM equation.

GCF(94680,94686) = 6
LCM(94680,94686) = ( 94680 × 94686) / 6
LCM(94680,94686) = 8964870480 / 6
LCM(94680,94686) = 1494145080

Least Common Multiple (LCM) of 94680 and 94686 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94680 and 94686. First we will calculate the prime factors of 94680 and 94686.

Prime Factorization of 94680

Prime Factorization of 94686

Now multiplying the highest exponent prime factors to calculate the LCM of 94680 and 94686.

LCM(94680,94686) = 2³ × 3² × 5¹ × 263¹ × 43¹ × 367¹
LCM(94680,94686) = 1494145080