What is the Least Common Multiple of 11493 and 11502?

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 11493 and 11502 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11493 and 11502, than apply into the LCM equation.

GCF(11493,11502) = 9
LCM(11493,11502) = ( 11493 × 11502) / 9
LCM(11493,11502) = 132192486 / 9
LCM(11493,11502) = 14688054

Least Common Multiple (LCM) of 11493 and 11502 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11493 and 11502. First we will calculate the prime factors of 11493 and 11502.

Prime Factorization of 11493

Prime Factorization of 11502

Now multiplying the highest exponent prime factors to calculate the LCM of 11493 and 11502.

LCM(11493,11502) = 3⁴ × 1277¹ × 2¹ × 71¹
LCM(11493,11502) = 14688054