What is the Least Common Multiple of 86514 and 86531?

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 86514 and 86531 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86514 and 86531, than apply into the LCM equation.

GCF(86514,86531) = 1
LCM(86514,86531) = ( 86514 × 86531) / 1
LCM(86514,86531) = 7486142934 / 1
LCM(86514,86531) = 7486142934

Least Common Multiple (LCM) of 86514 and 86531 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86514 and 86531. First we will calculate the prime factors of 86514 and 86531.

Prime Factorization of 86514

Prime Factorization of 86531

Now multiplying the highest exponent prime factors to calculate the LCM of 86514 and 86531.

LCM(86514,86531) = 2¹ × 3¹ × 14419¹ × 86531¹
LCM(86514,86531) = 7486142934