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What is the Least Common Multiple of 9903 and 9921?

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 9903 and 9921 is 32749221.

LCM(9903,9921) = 32749221

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Least Common Multiple of 9903 and 9921 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9903 and 9921, than apply into the LCM equation.

GCF(9903,9921) = 3
LCM(9903,9921) = ( 9903 × 9921) / 3
LCM(9903,9921) = 98247663 / 3
LCM(9903,9921) = 32749221

Least Common Multiple (LCM) of 9903 and 9921 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9903 and 9921. First we will calculate the prime factors of 9903 and 9921.

Prime Factorization of 9903

Prime factors of 9903 are 3, 3301. Prime factorization of 9903 in exponential form is:

9903 = 31 × 33011

Prime Factorization of 9921

Prime factors of 9921 are 3, 3307. Prime factorization of 9921 in exponential form is:

9921 = 31 × 33071

Now multiplying the highest exponent prime factors to calculate the LCM of 9903 and 9921.

LCM(9903,9921) = 31 × 33011 × 33071
LCM(9903,9921) = 32749221