What is the Least Common Multiple of 99699 and 99707?

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 99699 and 99707 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99699 and 99707, than apply into the LCM equation.

GCF(99699,99707) = 1
LCM(99699,99707) = ( 99699 × 99707) / 1
LCM(99699,99707) = 9940688193 / 1
LCM(99699,99707) = 9940688193

Least Common Multiple (LCM) of 99699 and 99707 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99699 and 99707. First we will calculate the prime factors of 99699 and 99707.

Prime Factorization of 99699

Prime Factorization of 99707

Now multiplying the highest exponent prime factors to calculate the LCM of 99699 and 99707.

LCM(99699,99707) = 3¹ × 167¹ × 199¹ × 99707¹
LCM(99699,99707) = 9940688193