What is the Least Common Multiple of 4174 and 4180?

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 4174 and 4180 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4174 and 4180, than apply into the LCM equation.

GCF(4174,4180) = 2
LCM(4174,4180) = ( 4174 × 4180) / 2
LCM(4174,4180) = 17447320 / 2
LCM(4174,4180) = 8723660

Least Common Multiple (LCM) of 4174 and 4180 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4174 and 4180. First we will calculate the prime factors of 4174 and 4180.

Prime Factorization of 4174

Prime Factorization of 4180

Now multiplying the highest exponent prime factors to calculate the LCM of 4174 and 4180.

LCM(4174,4180) = 2² × 2087¹ × 5¹ × 11¹ × 19¹
LCM(4174,4180) = 8723660