What is the Least Common Multiple of 79168 and 79186?

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 79168 and 79186 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79168 and 79186, than apply into the LCM equation.

GCF(79168,79186) = 2
LCM(79168,79186) = ( 79168 × 79186) / 2
LCM(79168,79186) = 6268997248 / 2
LCM(79168,79186) = 3134498624

Least Common Multiple (LCM) of 79168 and 79186 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79168 and 79186. First we will calculate the prime factors of 79168 and 79186.

Prime Factorization of 79168

Prime Factorization of 79186

Now multiplying the highest exponent prime factors to calculate the LCM of 79168 and 79186.

LCM(79168,79186) = 2⁶ × 1237¹ × 17² × 137¹
LCM(79168,79186) = 3134498624