GCF and LCM Calculator Logo

What is the Least Common Multiple of 9990 and 10002?

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 10002 is 16653330.

LCM(9990,10002) = 16653330

LCM Calculator and
and

Least Common Multiple of 9990 and 10002 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 10002, than apply into the LCM equation.

GCF(9990,10002) = 6
LCM(9990,10002) = ( 9990 × 10002) / 6
LCM(9990,10002) = 99919980 / 6
LCM(9990,10002) = 16653330

Least Common Multiple (LCM) of 9990 and 10002 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9990 and 10002. First we will calculate the prime factors of 9990 and 10002.

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 10002

Prime factors of 10002 are 2, 3, 1667. Prime factorization of 10002 in exponential form is:

10002 = 21 × 31 × 16671

Now multiplying the highest exponent prime factors to calculate the LCM of 9990 and 10002.

LCM(9990,10002) = 21 × 33 × 51 × 371 × 16671
LCM(9990,10002) = 16653330