What is the Least Common Multiple of 9514 and 9531?

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 9514 and 9531 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9514 and 9531, than apply into the LCM equation.

GCF(9514,9531) = 1
LCM(9514,9531) = ( 9514 × 9531) / 1
LCM(9514,9531) = 90677934 / 1
LCM(9514,9531) = 90677934

Least Common Multiple (LCM) of 9514 and 9531 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9514 and 9531. First we will calculate the prime factors of 9514 and 9531.

Prime Factorization of 9514

Prime Factorization of 9531

Now multiplying the highest exponent prime factors to calculate the LCM of 9514 and 9531.

LCM(9514,9531) = 2¹ × 67¹ × 71¹ × 3³ × 353¹
LCM(9514,9531) = 90677934