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What is the Least Common Multiple of 85837 and 85847?

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 85837 and 85847 is 7368848939.

LCM(85837,85847) = 7368848939

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Least Common Multiple of 85837 and 85847 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85837 and 85847, than apply into the LCM equation.

GCF(85837,85847) = 1
LCM(85837,85847) = ( 85837 × 85847) / 1
LCM(85837,85847) = 7368848939 / 1
LCM(85837,85847) = 7368848939

Least Common Multiple (LCM) of 85837 and 85847 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85837 and 85847. First we will calculate the prime factors of 85837 and 85847.

Prime Factorization of 85837

Prime factors of 85837 are 85837. Prime factorization of 85837 in exponential form is:

85837 = 858371

Prime Factorization of 85847

Prime factors of 85847 are 85847. Prime factorization of 85847 in exponential form is:

85847 = 858471

Now multiplying the highest exponent prime factors to calculate the LCM of 85837 and 85847.

LCM(85837,85847) = 858371 × 858471
LCM(85837,85847) = 7368848939