What is the Least Common Multiple of 93169 and 93177?

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 93169 and 93177 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93169 and 93177, than apply into the LCM equation.

GCF(93169,93177) = 1
LCM(93169,93177) = ( 93169 × 93177) / 1
LCM(93169,93177) = 8681207913 / 1
LCM(93169,93177) = 8681207913

Least Common Multiple (LCM) of 93169 and 93177 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93169 and 93177. First we will calculate the prime factors of 93169 and 93177.

Prime Factorization of 93169

Prime Factorization of 93177

Now multiplying the highest exponent prime factors to calculate the LCM of 93169 and 93177.

LCM(93169,93177) = 93169¹ × 3³ × 7¹ × 17¹ × 29¹
LCM(93169,93177) = 8681207913