What is the Least Common Multiple of 4172 and 4178?

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 4172 and 4178 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4172 and 4178, than apply into the LCM equation.

GCF(4172,4178) = 2
LCM(4172,4178) = ( 4172 × 4178) / 2
LCM(4172,4178) = 17430616 / 2
LCM(4172,4178) = 8715308

Least Common Multiple (LCM) of 4172 and 4178 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4172 and 4178. First we will calculate the prime factors of 4172 and 4178.

Prime Factorization of 4172

Prime Factorization of 4178

Now multiplying the highest exponent prime factors to calculate the LCM of 4172 and 4178.

LCM(4172,4178) = 2² × 7¹ × 149¹ × 2089¹
LCM(4172,4178) = 8715308