What is the Least Common Multiple of 5168 and 5177?

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 5168 and 5177 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5168 and 5177, than apply into the LCM equation.

GCF(5168,5177) = 1
LCM(5168,5177) = ( 5168 × 5177) / 1
LCM(5168,5177) = 26754736 / 1
LCM(5168,5177) = 26754736

Least Common Multiple (LCM) of 5168 and 5177 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5168 and 5177. First we will calculate the prime factors of 5168 and 5177.

Prime Factorization of 5168

Prime Factorization of 5177

Now multiplying the highest exponent prime factors to calculate the LCM of 5168 and 5177.

LCM(5168,5177) = 2⁴ × 17¹ × 19¹ × 31¹ × 167¹
LCM(5168,5177) = 26754736