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What is the Least Common Multiple of 57299 and 57303?

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 57299 and 57303 is 3283404597.

LCM(57299,57303) = 3283404597

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Least Common Multiple of 57299 and 57303 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57299 and 57303, than apply into the LCM equation.

GCF(57299,57303) = 1
LCM(57299,57303) = ( 57299 × 57303) / 1
LCM(57299,57303) = 3283404597 / 1
LCM(57299,57303) = 3283404597

Least Common Multiple (LCM) of 57299 and 57303 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57299 and 57303. First we will calculate the prime factors of 57299 and 57303.

Prime Factorization of 57299

Prime factors of 57299 are 11, 5209. Prime factorization of 57299 in exponential form is:

57299 = 111 × 52091

Prime Factorization of 57303

Prime factors of 57303 are 3, 6367. Prime factorization of 57303 in exponential form is:

57303 = 32 × 63671

Now multiplying the highest exponent prime factors to calculate the LCM of 57299 and 57303.

LCM(57299,57303) = 111 × 52091 × 32 × 63671
LCM(57299,57303) = 3283404597