What is the Least Common Multiple of 99963 and 99969?

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 99963 and 99969 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99963 and 99969, than apply into the LCM equation.

GCF(99963,99969) = 3
LCM(99963,99969) = ( 99963 × 99969) / 3
LCM(99963,99969) = 9993201147 / 3
LCM(99963,99969) = 3331067049

Least Common Multiple (LCM) of 99963 and 99969 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99963 and 99969. First we will calculate the prime factors of 99963 and 99969.

Prime Factorization of 99963

Prime Factorization of 99969

Now multiplying the highest exponent prime factors to calculate the LCM of 99963 and 99969.

LCM(99963,99969) = 3² × 29¹ × 383¹ × 47¹ × 709¹
LCM(99963,99969) = 3331067049