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What is the Least Common Multiple of 9941 and 9952?

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 9941 and 9952 is 98932832.

LCM(9941,9952) = 98932832

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Least Common Multiple of 9941 and 9952 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9941 and 9952, than apply into the LCM equation.

GCF(9941,9952) = 1
LCM(9941,9952) = ( 9941 × 9952) / 1
LCM(9941,9952) = 98932832 / 1
LCM(9941,9952) = 98932832

Least Common Multiple (LCM) of 9941 and 9952 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9941 and 9952. First we will calculate the prime factors of 9941 and 9952.

Prime Factorization of 9941

Prime factors of 9941 are 9941. Prime factorization of 9941 in exponential form is:

9941 = 99411

Prime Factorization of 9952

Prime factors of 9952 are 2, 311. Prime factorization of 9952 in exponential form is:

9952 = 25 × 3111

Now multiplying the highest exponent prime factors to calculate the LCM of 9941 and 9952.

LCM(9941,9952) = 99411 × 25 × 3111
LCM(9941,9952) = 98932832