What is the Least Common Multiple of 63518 and 63531?

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 63518 and 63531 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63518 and 63531, than apply into the LCM equation.

GCF(63518,63531) = 13
LCM(63518,63531) = ( 63518 × 63531) / 13
LCM(63518,63531) = 4035362058 / 13
LCM(63518,63531) = 310412466

Least Common Multiple (LCM) of 63518 and 63531 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63518 and 63531. First we will calculate the prime factors of 63518 and 63531.

Prime Factorization of 63518

Prime Factorization of 63531

Now multiplying the highest exponent prime factors to calculate the LCM of 63518 and 63531.

LCM(63518,63531) = 2¹ × 7¹ × 13¹ × 349¹ × 3³ × 181¹
LCM(63518,63531) = 310412466