What is the Least Common Multiple of 9930 and 9945?

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 9930 and 9945 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9930 and 9945, than apply into the LCM equation.

GCF(9930,9945) = 15
LCM(9930,9945) = ( 9930 × 9945) / 15
LCM(9930,9945) = 98753850 / 15
LCM(9930,9945) = 6583590

Least Common Multiple (LCM) of 9930 and 9945 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9930 and 9945. First we will calculate the prime factors of 9930 and 9945.

Prime Factorization of 9930

Prime Factorization of 9945

Now multiplying the highest exponent prime factors to calculate the LCM of 9930 and 9945.

LCM(9930,9945) = 2¹ × 3² × 5¹ × 331¹ × 13¹ × 17¹
LCM(9930,9945) = 6583590