What is the Least Common Multiple of 15500 and 15504?

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 15500 and 15504 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15500 and 15504, than apply into the LCM equation.

GCF(15500,15504) = 4
LCM(15500,15504) = ( 15500 × 15504) / 4
LCM(15500,15504) = 240312000 / 4
LCM(15500,15504) = 60078000

Least Common Multiple (LCM) of 15500 and 15504 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15500 and 15504. First we will calculate the prime factors of 15500 and 15504.

Prime Factorization of 15500

Prime Factorization of 15504

Now multiplying the highest exponent prime factors to calculate the LCM of 15500 and 15504.

LCM(15500,15504) = 2⁴ × 5³ × 31¹ × 3¹ × 17¹ × 19¹
LCM(15500,15504) = 60078000