What is the Least Common Multiple of 15496 and 15506?

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 15496 and 15506 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15496 and 15506, than apply into the LCM equation.

GCF(15496,15506) = 2
LCM(15496,15506) = ( 15496 × 15506) / 2
LCM(15496,15506) = 240280976 / 2
LCM(15496,15506) = 120140488

Least Common Multiple (LCM) of 15496 and 15506 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15496 and 15506. First we will calculate the prime factors of 15496 and 15506.

Prime Factorization of 15496

Prime Factorization of 15506

Now multiplying the highest exponent prime factors to calculate the LCM of 15496 and 15506.

LCM(15496,15506) = 2³ × 13¹ × 149¹ × 7753¹
LCM(15496,15506) = 120140488