What is the Least Common Multiple of 86674 and 86680?

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 86674 and 86680 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86674 and 86680, than apply into the LCM equation.

GCF(86674,86680) = 2
LCM(86674,86680) = ( 86674 × 86680) / 2
LCM(86674,86680) = 7512902320 / 2
LCM(86674,86680) = 3756451160

Least Common Multiple (LCM) of 86674 and 86680 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86674 and 86680. First we will calculate the prime factors of 86674 and 86680.

Prime Factorization of 86674

Prime Factorization of 86680

Now multiplying the highest exponent prime factors to calculate the LCM of 86674 and 86680.

LCM(86674,86680) = 2³ × 7¹ × 41¹ × 151¹ × 5¹ × 11¹ × 197¹
LCM(86674,86680) = 3756451160