What is the Least Common Multiple of 82515 and 82531?

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 82515 and 82531 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82515 and 82531, than apply into the LCM equation.

GCF(82515,82531) = 1
LCM(82515,82531) = ( 82515 × 82531) / 1
LCM(82515,82531) = 6810045465 / 1
LCM(82515,82531) = 6810045465

Least Common Multiple (LCM) of 82515 and 82531 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82515 and 82531. First we will calculate the prime factors of 82515 and 82531.

Prime Factorization of 82515

Prime Factorization of 82531

Now multiplying the highest exponent prime factors to calculate the LCM of 82515 and 82531.

LCM(82515,82531) = 3¹ × 5¹ × 5501¹ × 82531¹
LCM(82515,82531) = 6810045465