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What is the Least Common Multiple of 84855 and 84863?

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 84855 and 84863 is 7201049865.

LCM(84855,84863) = 7201049865

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Least Common Multiple of 84855 and 84863 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84855 and 84863, than apply into the LCM equation.

GCF(84855,84863) = 1
LCM(84855,84863) = ( 84855 × 84863) / 1
LCM(84855,84863) = 7201049865 / 1
LCM(84855,84863) = 7201049865

Least Common Multiple (LCM) of 84855 and 84863 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84855 and 84863. First we will calculate the prime factors of 84855 and 84863.

Prime Factorization of 84855

Prime factors of 84855 are 3, 5, 5657. Prime factorization of 84855 in exponential form is:

84855 = 31 × 51 × 56571

Prime Factorization of 84863

Prime factors of 84863 are 113, 751. Prime factorization of 84863 in exponential form is:

84863 = 1131 × 7511

Now multiplying the highest exponent prime factors to calculate the LCM of 84855 and 84863.

LCM(84855,84863) = 31 × 51 × 56571 × 1131 × 7511
LCM(84855,84863) = 7201049865