What is the Least Common Multiple of 99354 and 99367?

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 99354 and 99367 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99354 and 99367, than apply into the LCM equation.

GCF(99354,99367) = 1
LCM(99354,99367) = ( 99354 × 99367) / 1
LCM(99354,99367) = 9872508918 / 1
LCM(99354,99367) = 9872508918

Least Common Multiple (LCM) of 99354 and 99367 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99354 and 99367. First we will calculate the prime factors of 99354 and 99367.

Prime Factorization of 99354

Prime Factorization of 99367

Now multiplying the highest exponent prime factors to calculate the LCM of 99354 and 99367.

LCM(99354,99367) = 2¹ × 3¹ × 29¹ × 571¹ × 99367¹
LCM(99354,99367) = 9872508918