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What is the Least Common Multiple of 7914 and 7924?

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 7914 and 7924 is 31355268.

LCM(7914,7924) = 31355268

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Least Common Multiple of 7914 and 7924 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7914 and 7924, than apply into the LCM equation.

GCF(7914,7924) = 2
LCM(7914,7924) = ( 7914 × 7924) / 2
LCM(7914,7924) = 62710536 / 2
LCM(7914,7924) = 31355268

Least Common Multiple (LCM) of 7914 and 7924 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7914 and 7924. First we will calculate the prime factors of 7914 and 7924.

Prime Factorization of 7914

Prime factors of 7914 are 2, 3, 1319. Prime factorization of 7914 in exponential form is:

7914 = 21 × 31 × 13191

Prime Factorization of 7924

Prime factors of 7924 are 2, 7, 283. Prime factorization of 7924 in exponential form is:

7924 = 22 × 71 × 2831

Now multiplying the highest exponent prime factors to calculate the LCM of 7914 and 7924.

LCM(7914,7924) = 22 × 31 × 13191 × 71 × 2831
LCM(7914,7924) = 31355268