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What is the Least Common Multiple of 57099 and 57103?

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 57099 and 57103 is 3260524197.

LCM(57099,57103) = 3260524197

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Least Common Multiple of 57099 and 57103 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57099 and 57103, than apply into the LCM equation.

GCF(57099,57103) = 1
LCM(57099,57103) = ( 57099 × 57103) / 1
LCM(57099,57103) = 3260524197 / 1
LCM(57099,57103) = 3260524197

Least Common Multiple (LCM) of 57099 and 57103 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57099 and 57103. First we will calculate the prime factors of 57099 and 57103.

Prime Factorization of 57099

Prime factors of 57099 are 3, 7, 2719. Prime factorization of 57099 in exponential form is:

57099 = 31 × 71 × 27191

Prime Factorization of 57103

Prime factors of 57103 are 17, 3359. Prime factorization of 57103 in exponential form is:

57103 = 171 × 33591

Now multiplying the highest exponent prime factors to calculate the LCM of 57099 and 57103.

LCM(57099,57103) = 31 × 71 × 27191 × 171 × 33591
LCM(57099,57103) = 3260524197