What is the Least Common Multiple of 99015 and 99031?

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 99015 and 99031 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99015 and 99031, than apply into the LCM equation.

GCF(99015,99031) = 1
LCM(99015,99031) = ( 99015 × 99031) / 1
LCM(99015,99031) = 9805554465 / 1
LCM(99015,99031) = 9805554465

Least Common Multiple (LCM) of 99015 and 99031 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99015 and 99031. First we will calculate the prime factors of 99015 and 99031.

Prime Factorization of 99015

Prime Factorization of 99031

Now multiplying the highest exponent prime factors to calculate the LCM of 99015 and 99031.

LCM(99015,99031) = 3¹ × 5¹ × 7¹ × 23¹ × 41¹ × 167¹ × 593¹
LCM(99015,99031) = 9805554465