What is the Least Common Multiple of 5204 and 5208?

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 5204 and 5208 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5204 and 5208, than apply into the LCM equation.

GCF(5204,5208) = 4
LCM(5204,5208) = ( 5204 × 5208) / 4
LCM(5204,5208) = 27102432 / 4
LCM(5204,5208) = 6775608

Least Common Multiple (LCM) of 5204 and 5208 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5204 and 5208. First we will calculate the prime factors of 5204 and 5208.

Prime Factorization of 5204

Prime Factorization of 5208

Now multiplying the highest exponent prime factors to calculate the LCM of 5204 and 5208.

LCM(5204,5208) = 2³ × 1301¹ × 3¹ × 7¹ × 31¹
LCM(5204,5208) = 6775608