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What is the Least Common Multiple of 17868 and 17884?

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 17868 and 17884 is 79887828.

LCM(17868,17884) = 79887828

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Least Common Multiple of 17868 and 17884 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17868 and 17884, than apply into the LCM equation.

GCF(17868,17884) = 4
LCM(17868,17884) = ( 17868 × 17884) / 4
LCM(17868,17884) = 319551312 / 4
LCM(17868,17884) = 79887828

Least Common Multiple (LCM) of 17868 and 17884 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17868 and 17884. First we will calculate the prime factors of 17868 and 17884.

Prime Factorization of 17868

Prime factors of 17868 are 2, 3, 1489. Prime factorization of 17868 in exponential form is:

17868 = 22 × 31 × 14891

Prime Factorization of 17884

Prime factors of 17884 are 2, 17, 263. Prime factorization of 17884 in exponential form is:

17884 = 22 × 171 × 2631

Now multiplying the highest exponent prime factors to calculate the LCM of 17868 and 17884.

LCM(17868,17884) = 22 × 31 × 14891 × 171 × 2631
LCM(17868,17884) = 79887828