What is the Least Common Multiple of 99821 and 99826?

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 99821 and 99826 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99821 and 99826, than apply into the LCM equation.

GCF(99821,99826) = 1
LCM(99821,99826) = ( 99821 × 99826) / 1
LCM(99821,99826) = 9964731146 / 1
LCM(99821,99826) = 9964731146

Least Common Multiple (LCM) of 99821 and 99826 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99821 and 99826. First we will calculate the prime factors of 99821 and 99826.

Prime Factorization of 99821

Prime Factorization of 99826

Now multiplying the highest exponent prime factors to calculate the LCM of 99821 and 99826.

LCM(99821,99826) = 173¹ × 577¹ × 2¹ × 19¹ × 37¹ × 71¹
LCM(99821,99826) = 9964731146