What is the Least Common Multiple of 99031 and 99048?

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 99031 and 99048 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99031 and 99048, than apply into the LCM equation.

GCF(99031,99048) = 1
LCM(99031,99048) = ( 99031 × 99048) / 1
LCM(99031,99048) = 9808822488 / 1
LCM(99031,99048) = 9808822488

Least Common Multiple (LCM) of 99031 and 99048 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99031 and 99048. First we will calculate the prime factors of 99031 and 99048.

Prime Factorization of 99031

Prime Factorization of 99048

Now multiplying the highest exponent prime factors to calculate the LCM of 99031 and 99048.

LCM(99031,99048) = 167¹ × 593¹ × 2³ × 3¹ × 4127¹
LCM(99031,99048) = 9808822488