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What is the Least Common Multiple of 19908 and 19924?

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 19908 and 19924 is 99161748.

LCM(19908,19924) = 99161748

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Least Common Multiple of 19908 and 19924 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19908 and 19924, than apply into the LCM equation.

GCF(19908,19924) = 4
LCM(19908,19924) = ( 19908 × 19924) / 4
LCM(19908,19924) = 396646992 / 4
LCM(19908,19924) = 99161748

Least Common Multiple (LCM) of 19908 and 19924 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19908 and 19924. First we will calculate the prime factors of 19908 and 19924.

Prime Factorization of 19908

Prime factors of 19908 are 2, 3, 7, 79. Prime factorization of 19908 in exponential form is:

19908 = 22 × 32 × 71 × 791

Prime Factorization of 19924

Prime factors of 19924 are 2, 17, 293. Prime factorization of 19924 in exponential form is:

19924 = 22 × 171 × 2931

Now multiplying the highest exponent prime factors to calculate the LCM of 19908 and 19924.

LCM(19908,19924) = 22 × 32 × 71 × 791 × 171 × 2931
LCM(19908,19924) = 99161748