What is the Least Common Multiple of 4178 and 4186?

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 4186 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 4186, than apply into the LCM equation.

GCF(4178,4186) = 2
LCM(4178,4186) = ( 4178 × 4186) / 2
LCM(4178,4186) = 17489108 / 2
LCM(4178,4186) = 8744554

Least Common Multiple (LCM) of 4178 and 4186 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4178 and 4186. First we will calculate the prime factors of 4178 and 4186.

Prime Factorization of 4178

Prime Factorization of 4186

Now multiplying the highest exponent prime factors to calculate the LCM of 4178 and 4186.

LCM(4178,4186) = 2¹ × 2089¹ × 7¹ × 13¹ × 23¹
LCM(4178,4186) = 8744554