What is the Least Common Multiple of 15483 and 15502?

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 15483 and 15502 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15483 and 15502, than apply into the LCM equation.

GCF(15483,15502) = 1
LCM(15483,15502) = ( 15483 × 15502) / 1
LCM(15483,15502) = 240017466 / 1
LCM(15483,15502) = 240017466

Least Common Multiple (LCM) of 15483 and 15502 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15483 and 15502. First we will calculate the prime factors of 15483 and 15502.

Prime Factorization of 15483

Prime Factorization of 15502

Now multiplying the highest exponent prime factors to calculate the LCM of 15483 and 15502.

LCM(15483,15502) = 3¹ × 13¹ × 397¹ × 2¹ × 23¹ × 337¹
LCM(15483,15502) = 240017466