What is the Least Common Multiple of 18674 and 18680?

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 18674 and 18680 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18674 and 18680, than apply into the LCM equation.

GCF(18674,18680) = 2
LCM(18674,18680) = ( 18674 × 18680) / 2
LCM(18674,18680) = 348830320 / 2
LCM(18674,18680) = 174415160

Least Common Multiple (LCM) of 18674 and 18680 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18674 and 18680. First we will calculate the prime factors of 18674 and 18680.

Prime Factorization of 18674

Prime Factorization of 18680

Now multiplying the highest exponent prime factors to calculate the LCM of 18674 and 18680.

LCM(18674,18680) = 2³ × 9337¹ × 5¹ × 467¹
LCM(18674,18680) = 174415160