What is the Least Common Multiple of 5104 and 5122?

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 5122 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 5122, than apply into the LCM equation.

GCF(5104,5122) = 2
LCM(5104,5122) = ( 5104 × 5122) / 2
LCM(5104,5122) = 26142688 / 2
LCM(5104,5122) = 13071344

Least Common Multiple (LCM) of 5104 and 5122 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5104 and 5122. First we will calculate the prime factors of 5104 and 5122.

Prime Factorization of 5104

Prime Factorization of 5122

Now multiplying the highest exponent prime factors to calculate the LCM of 5104 and 5122.

LCM(5104,5122) = 2⁴ × 11¹ × 29¹ × 13¹ × 197¹
LCM(5104,5122) = 13071344