What is the Least Common Multiple of 9951 and 9963?

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 9951 and 9963 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9951 and 9963, than apply into the LCM equation.

GCF(9951,9963) = 3
LCM(9951,9963) = ( 9951 × 9963) / 3
LCM(9951,9963) = 99141813 / 3
LCM(9951,9963) = 33047271

Least Common Multiple (LCM) of 9951 and 9963 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9951 and 9963. First we will calculate the prime factors of 9951 and 9963.

Prime Factorization of 9951

Prime Factorization of 9963

Now multiplying the highest exponent prime factors to calculate the LCM of 9951 and 9963.

LCM(9951,9963) = 3⁵ × 31¹ × 107¹ × 41¹
LCM(9951,9963) = 33047271