What is the Least Common Multiple of 99820 and 99838?

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 99820 and 99838 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99820 and 99838, than apply into the LCM equation.

GCF(99820,99838) = 2
LCM(99820,99838) = ( 99820 × 99838) / 2
LCM(99820,99838) = 9965829160 / 2
LCM(99820,99838) = 4982914580

Least Common Multiple (LCM) of 99820 and 99838 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99820 and 99838. First we will calculate the prime factors of 99820 and 99838.

Prime Factorization of 99820

Prime Factorization of 99838

Now multiplying the highest exponent prime factors to calculate the LCM of 99820 and 99838.

LCM(99820,99838) = 2² × 5¹ × 7¹ × 23¹ × 31¹ × 49919¹
LCM(99820,99838) = 4982914580