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What is the Least Common Multiple of 85283 and 85303?

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 85283 and 85303 is 7274895749.

LCM(85283,85303) = 7274895749

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Least Common Multiple of 85283 and 85303 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85283 and 85303, than apply into the LCM equation.

GCF(85283,85303) = 1
LCM(85283,85303) = ( 85283 × 85303) / 1
LCM(85283,85303) = 7274895749 / 1
LCM(85283,85303) = 7274895749

Least Common Multiple (LCM) of 85283 and 85303 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85283 and 85303. First we will calculate the prime factors of 85283 and 85303.

Prime Factorization of 85283

Prime factors of 85283 are 11, 7753. Prime factorization of 85283 in exponential form is:

85283 = 111 × 77531

Prime Factorization of 85303

Prime factors of 85303 are 85303. Prime factorization of 85303 in exponential form is:

85303 = 853031

Now multiplying the highest exponent prime factors to calculate the LCM of 85283 and 85303.

LCM(85283,85303) = 111 × 77531 × 853031
LCM(85283,85303) = 7274895749