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What is the Least Common Multiple of 8918 and 8929?

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 8918 and 8929 is 79628822.

LCM(8918,8929) = 79628822

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Least Common Multiple of 8918 and 8929 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8918 and 8929, than apply into the LCM equation.

GCF(8918,8929) = 1
LCM(8918,8929) = ( 8918 × 8929) / 1
LCM(8918,8929) = 79628822 / 1
LCM(8918,8929) = 79628822

Least Common Multiple (LCM) of 8918 and 8929 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8918 and 8929. First we will calculate the prime factors of 8918 and 8929.

Prime Factorization of 8918

Prime factors of 8918 are 2, 7, 13. Prime factorization of 8918 in exponential form is:

8918 = 21 × 73 × 131

Prime Factorization of 8929

Prime factors of 8929 are 8929. Prime factorization of 8929 in exponential form is:

8929 = 89291

Now multiplying the highest exponent prime factors to calculate the LCM of 8918 and 8929.

LCM(8918,8929) = 21 × 73 × 131 × 89291
LCM(8918,8929) = 79628822