What is the Least Common Multiple of 10482 and 10497?

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 10482 and 10497 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10482 and 10497, than apply into the LCM equation.

GCF(10482,10497) = 3
LCM(10482,10497) = ( 10482 × 10497) / 3
LCM(10482,10497) = 110029554 / 3
LCM(10482,10497) = 36676518

Least Common Multiple (LCM) of 10482 and 10497 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10482 and 10497. First we will calculate the prime factors of 10482 and 10497.

Prime Factorization of 10482

Prime Factorization of 10497

Now multiplying the highest exponent prime factors to calculate the LCM of 10482 and 10497.

LCM(10482,10497) = 2¹ × 3¹ × 1747¹ × 3499¹
LCM(10482,10497) = 36676518