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What is the Least Common Multiple of 75847 and 75863?

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 75847 and 75863 is 5753980961.

LCM(75847,75863) = 5753980961

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Least Common Multiple of 75847 and 75863 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75847 and 75863, than apply into the LCM equation.

GCF(75847,75863) = 1
LCM(75847,75863) = ( 75847 × 75863) / 1
LCM(75847,75863) = 5753980961 / 1
LCM(75847,75863) = 5753980961

Least Common Multiple (LCM) of 75847 and 75863 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75847 and 75863. First we will calculate the prime factors of 75847 and 75863.

Prime Factorization of 75847

Prime factors of 75847 are 73, 1039. Prime factorization of 75847 in exponential form is:

75847 = 731 × 10391

Prime Factorization of 75863

Prime factors of 75863 are 107, 709. Prime factorization of 75863 in exponential form is:

75863 = 1071 × 7091

Now multiplying the highest exponent prime factors to calculate the LCM of 75847 and 75863.

LCM(75847,75863) = 731 × 10391 × 1071 × 7091
LCM(75847,75863) = 5753980961