What is the Least Common Multiple of 4174 and 4181?

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 4181 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 4181, than apply into the LCM equation.

GCF(4174,4181) = 1
LCM(4174,4181) = ( 4174 × 4181) / 1
LCM(4174,4181) = 17451494 / 1
LCM(4174,4181) = 17451494

Least Common Multiple (LCM) of 4174 and 4181 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4174 and 4181. First we will calculate the prime factors of 4174 and 4181.

Prime Factorization of 4174

Prime Factorization of 4181

Now multiplying the highest exponent prime factors to calculate the LCM of 4174 and 4181.

LCM(4174,4181) = 2¹ × 2087¹ × 37¹ × 113¹
LCM(4174,4181) = 17451494