What is the Least Common Multiple of 71166 and 71177?

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 71166 and 71177 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71166 and 71177, than apply into the LCM equation.

GCF(71166,71177) = 1
LCM(71166,71177) = ( 71166 × 71177) / 1
LCM(71166,71177) = 5065382382 / 1
LCM(71166,71177) = 5065382382

Least Common Multiple (LCM) of 71166 and 71177 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71166 and 71177. First we will calculate the prime factors of 71166 and 71177.

Prime Factorization of 71166

Prime Factorization of 71177

Now multiplying the highest exponent prime factors to calculate the LCM of 71166 and 71177.

LCM(71166,71177) = 2¹ × 3¹ × 29¹ × 409¹ × 109¹ × 653¹
LCM(71166,71177) = 5065382382