What is the Least Common Multiple of 99805 and 99821?

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 99805 and 99821 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99805 and 99821, than apply into the LCM equation.

GCF(99805,99821) = 1
LCM(99805,99821) = ( 99805 × 99821) / 1
LCM(99805,99821) = 9962634905 / 1
LCM(99805,99821) = 9962634905

Least Common Multiple (LCM) of 99805 and 99821 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99805 and 99821. First we will calculate the prime factors of 99805 and 99821.

Prime Factorization of 99805

Prime Factorization of 99821

Now multiplying the highest exponent prime factors to calculate the LCM of 99805 and 99821.

LCM(99805,99821) = 5¹ × 19961¹ × 173¹ × 577¹
LCM(99805,99821) = 9962634905