GCF and LCM Calculator Logo

What is the Least Common Multiple of 5159 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 (LCM) of 5159 and 5177 is 26708143.

LCM(5159,5177) = 26708143

LCM Calculator and
and

Least Common Multiple of 5159 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 5159 and 5177, than apply into the LCM equation.

GCF(5159,5177) = 1
LCM(5159,5177) = ( 5159 × 5177) / 1
LCM(5159,5177) = 26708143 / 1
LCM(5159,5177) = 26708143

Least Common Multiple (LCM) of 5159 and 5177 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5159 and 5177. First we will calculate the prime factors of 5159 and 5177.

Prime Factorization of 5159

Prime factors of 5159 are 7, 11, 67. Prime factorization of 5159 in exponential form is:

5159 = 71 × 111 × 671

Prime Factorization of 5177

Prime factors of 5177 are 31, 167. Prime factorization of 5177 in exponential form is:

5177 = 311 × 1671

Now multiplying the highest exponent prime factors to calculate the LCM of 5159 and 5177.

LCM(5159,5177) = 71 × 111 × 671 × 311 × 1671
LCM(5159,5177) = 26708143