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What is the Least Common Multiple of 9990 and 9995?

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 (LCM) of 9990 and 9995 is 19970010.

LCM(9990,9995) = 19970010

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Least Common Multiple of 9990 and 9995 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9990 and 9995, than apply into the LCM equation.

GCF(9990,9995) = 5
LCM(9990,9995) = ( 9990 × 9995) / 5
LCM(9990,9995) = 99850050 / 5
LCM(9990,9995) = 19970010

Least Common Multiple (LCM) of 9990 and 9995 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9990 and 9995. First we will calculate the prime factors of 9990 and 9995.

Prime Factorization of 9990

Prime factors of 9990 are 2, 3, 5, 37. Prime factorization of 9990 in exponential form is:

9990 = 21 × 33 × 51 × 371

Prime Factorization of 9995

Prime factors of 9995 are 5, 1999. Prime factorization of 9995 in exponential form is:

9995 = 51 × 19991

Now multiplying the highest exponent prime factors to calculate the LCM of 9990 and 9995.

LCM(9990,9995) = 21 × 33 × 51 × 371 × 19991
LCM(9990,9995) = 19970010