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What is the Least Common Multiple of 9901 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 9901 and 9921 is 98227821.

LCM(9901,9921) = 98227821

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Least Common Multiple of 9901 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 9901 and 9921, than apply into the LCM equation.

GCF(9901,9921) = 1
LCM(9901,9921) = ( 9901 × 9921) / 1
LCM(9901,9921) = 98227821 / 1
LCM(9901,9921) = 98227821

Least Common Multiple (LCM) of 9901 and 9921 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9901 and 9921. First we will calculate the prime factors of 9901 and 9921.

Prime Factorization of 9901

Prime factors of 9901 are 9901. Prime factorization of 9901 in exponential form is:

9901 = 99011

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 9901 and 9921.

LCM(9901,9921) = 99011 × 31 × 33071
LCM(9901,9921) = 98227821