What is the Least Common Multiple of 4178 and 4189?

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 4178 and 4189 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4178 and 4189, than apply into the LCM equation.

GCF(4178,4189) = 1
LCM(4178,4189) = ( 4178 × 4189) / 1
LCM(4178,4189) = 17501642 / 1
LCM(4178,4189) = 17501642

Least Common Multiple (LCM) of 4178 and 4189 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4178 and 4189. First we will calculate the prime factors of 4178 and 4189.

Prime Factorization of 4178

Prime Factorization of 4189

Now multiplying the highest exponent prime factors to calculate the LCM of 4178 and 4189.

LCM(4178,4189) = 2¹ × 2089¹ × 59¹ × 71¹
LCM(4178,4189) = 17501642