What is the Least Common Multiple of 5104 and 5119?

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 5104 and 5119 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5104 and 5119, than apply into the LCM equation.

GCF(5104,5119) = 1
LCM(5104,5119) = ( 5104 × 5119) / 1
LCM(5104,5119) = 26127376 / 1
LCM(5104,5119) = 26127376

Least Common Multiple (LCM) of 5104 and 5119 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5104 and 5119. First we will calculate the prime factors of 5104 and 5119.

Prime Factorization of 5104

Prime Factorization of 5119

Now multiplying the highest exponent prime factors to calculate the LCM of 5104 and 5119.

LCM(5104,5119) = 2⁴ × 11¹ × 29¹ × 5119¹
LCM(5104,5119) = 26127376