What is the Least Common Multiple of 9963 and 9969?

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 9963 and 9969 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9963 and 9969, than apply into the LCM equation.

GCF(9963,9969) = 3
LCM(9963,9969) = ( 9963 × 9969) / 3
LCM(9963,9969) = 99321147 / 3
LCM(9963,9969) = 33107049

Least Common Multiple (LCM) of 9963 and 9969 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9963 and 9969. First we will calculate the prime factors of 9963 and 9969.

Prime Factorization of 9963

Prime Factorization of 9969

Now multiplying the highest exponent prime factors to calculate the LCM of 9963 and 9969.

LCM(9963,9969) = 3⁵ × 41¹ × 3323¹
LCM(9963,9969) = 33107049