What is the Least Common Multiple of 9916 and 9930?

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 9916 and 9930 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9916 and 9930, than apply into the LCM equation.

GCF(9916,9930) = 2
LCM(9916,9930) = ( 9916 × 9930) / 2
LCM(9916,9930) = 98465880 / 2
LCM(9916,9930) = 49232940

Least Common Multiple (LCM) of 9916 and 9930 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9916 and 9930. First we will calculate the prime factors of 9916 and 9930.

Prime Factorization of 9916

Prime Factorization of 9930

Now multiplying the highest exponent prime factors to calculate the LCM of 9916 and 9930.

LCM(9916,9930) = 2² × 37¹ × 67¹ × 3¹ × 5¹ × 331¹
LCM(9916,9930) = 49232940