What is the Least Common Multiple of 58482 and 58497?

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 58482 and 58497 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58482 and 58497, than apply into the LCM equation.

GCF(58482,58497) = 3
LCM(58482,58497) = ( 58482 × 58497) / 3
LCM(58482,58497) = 3421021554 / 3
LCM(58482,58497) = 1140340518

Least Common Multiple (LCM) of 58482 and 58497 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58482 and 58497. First we will calculate the prime factors of 58482 and 58497.

Prime Factorization of 58482

Prime Factorization of 58497

Now multiplying the highest exponent prime factors to calculate the LCM of 58482 and 58497.

LCM(58482,58497) = 2¹ × 3⁴ × 19² × 17¹ × 31¹ × 37¹
LCM(58482,58497) = 1140340518