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What is the Least Common Multiple of 85847 and 85853?

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 85847 and 85853 is 7370222491.

LCM(85847,85853) = 7370222491

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Least Common Multiple of 85847 and 85853 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85847 and 85853, than apply into the LCM equation.

GCF(85847,85853) = 1
LCM(85847,85853) = ( 85847 × 85853) / 1
LCM(85847,85853) = 7370222491 / 1
LCM(85847,85853) = 7370222491

Least Common Multiple (LCM) of 85847 and 85853 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85847 and 85853. First we will calculate the prime factors of 85847 and 85853.

Prime Factorization of 85847

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

85847 = 858471

Prime Factorization of 85853

Prime factors of 85853 are 85853. Prime factorization of 85853 in exponential form is:

85853 = 858531

Now multiplying the highest exponent prime factors to calculate the LCM of 85847 and 85853.

LCM(85847,85853) = 858471 × 858531
LCM(85847,85853) = 7370222491