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What is the Least Common Multiple of 94299 and 94308?

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 94299 and 94308 is 2964383364.

LCM(94299,94308) = 2964383364

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Least Common Multiple of 94299 and 94308 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94299 and 94308, than apply into the LCM equation.

GCF(94299,94308) = 3
LCM(94299,94308) = ( 94299 × 94308) / 3
LCM(94299,94308) = 8893150092 / 3
LCM(94299,94308) = 2964383364

Least Common Multiple (LCM) of 94299 and 94308 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94299 and 94308. First we will calculate the prime factors of 94299 and 94308.

Prime Factorization of 94299

Prime factors of 94299 are 3, 17, 43. Prime factorization of 94299 in exponential form is:

94299 = 31 × 171 × 432

Prime Factorization of 94308

Prime factors of 94308 are 2, 3, 29, 271. Prime factorization of 94308 in exponential form is:

94308 = 22 × 31 × 291 × 2711

Now multiplying the highest exponent prime factors to calculate the LCM of 94299 and 94308.

LCM(94299,94308) = 31 × 171 × 432 × 22 × 291 × 2711
LCM(94299,94308) = 2964383364