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What is the Least Common Multiple of 99299 and 99318?

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 99299 and 99318 is 9862178082.

LCM(99299,99318) = 9862178082

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Least Common Multiple of 99299 and 99318 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99299 and 99318, than apply into the LCM equation.

GCF(99299,99318) = 1
LCM(99299,99318) = ( 99299 × 99318) / 1
LCM(99299,99318) = 9862178082 / 1
LCM(99299,99318) = 9862178082

Least Common Multiple (LCM) of 99299 and 99318 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99299 and 99318. First we will calculate the prime factors of 99299 and 99318.

Prime Factorization of 99299

Prime factors of 99299 are 109, 911. Prime factorization of 99299 in exponential form is:

99299 = 1091 × 9111

Prime Factorization of 99318

Prime factors of 99318 are 2, 3, 16553. Prime factorization of 99318 in exponential form is:

99318 = 21 × 31 × 165531

Now multiplying the highest exponent prime factors to calculate the LCM of 99299 and 99318.

LCM(99299,99318) = 1091 × 9111 × 21 × 31 × 165531
LCM(99299,99318) = 9862178082