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What is the Least Common Multiple of 9933 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 9933 and 9952 is 98853216.

LCM(9933,9952) = 98853216

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Least Common Multiple of 9933 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 9933 and 9952, than apply into the LCM equation.

GCF(9933,9952) = 1
LCM(9933,9952) = ( 9933 × 9952) / 1
LCM(9933,9952) = 98853216 / 1
LCM(9933,9952) = 98853216

Least Common Multiple (LCM) of 9933 and 9952 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9933 and 9952. First we will calculate the prime factors of 9933 and 9952.

Prime Factorization of 9933

Prime factors of 9933 are 3, 7, 11, 43. Prime factorization of 9933 in exponential form is:

9933 = 31 × 71 × 111 × 431

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 9933 and 9952.

LCM(9933,9952) = 31 × 71 × 111 × 431 × 25 × 3111
LCM(9933,9952) = 98853216