What is the Least Common Multiple of 99824 and 99835?

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 99824 and 99835 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99824 and 99835, than apply into the LCM equation.

GCF(99824,99835) = 1
LCM(99824,99835) = ( 99824 × 99835) / 1
LCM(99824,99835) = 9965929040 / 1
LCM(99824,99835) = 9965929040

Least Common Multiple (LCM) of 99824 and 99835 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99824 and 99835. First we will calculate the prime factors of 99824 and 99835.

Prime Factorization of 99824

Prime Factorization of 99835

Now multiplying the highest exponent prime factors to calculate the LCM of 99824 and 99835.

LCM(99824,99835) = 2⁴ × 17¹ × 367¹ × 5¹ × 41¹ × 487¹
LCM(99824,99835) = 9965929040