What is the Least Common Multiple of 99947 and 99967?

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 99947 and 99967 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99947 and 99967, than apply into the LCM equation.

GCF(99947,99967) = 1
LCM(99947,99967) = ( 99947 × 99967) / 1
LCM(99947,99967) = 9991401749 / 1
LCM(99947,99967) = 9991401749

Least Common Multiple (LCM) of 99947 and 99967 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99947 and 99967. First we will calculate the prime factors of 99947 and 99967.

Prime Factorization of 99947

Prime Factorization of 99967

Now multiplying the highest exponent prime factors to calculate the LCM of 99947 and 99967.

LCM(99947,99967) = 89¹ × 1123¹ × 7¹ × 14281¹
LCM(99947,99967) = 9991401749