What is the Least Common Multiple of 15500 and 15514?

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 15514 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 15514, than apply into the LCM equation.

GCF(15500,15514) = 2
LCM(15500,15514) = ( 15500 × 15514) / 2
LCM(15500,15514) = 240467000 / 2
LCM(15500,15514) = 120233500

Least Common Multiple (LCM) of 15500 and 15514 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15500 and 15514. First we will calculate the prime factors of 15500 and 15514.

Prime Factorization of 15500

Prime Factorization of 15514

Now multiplying the highest exponent prime factors to calculate the LCM of 15500 and 15514.

LCM(15500,15514) = 2² × 5³ × 31¹ × 7757¹
LCM(15500,15514) = 120233500