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What is the Least Common Multiple of 84878 and 84882?

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 84878 and 84882 is 3602307198.

LCM(84878,84882) = 3602307198

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Least Common Multiple of 84878 and 84882 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84878 and 84882, than apply into the LCM equation.

GCF(84878,84882) = 2
LCM(84878,84882) = ( 84878 × 84882) / 2
LCM(84878,84882) = 7204614396 / 2
LCM(84878,84882) = 3602307198

Least Common Multiple (LCM) of 84878 and 84882 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84878 and 84882. First we will calculate the prime factors of 84878 and 84882.

Prime Factorization of 84878

Prime factors of 84878 are 2, 31, 37. Prime factorization of 84878 in exponential form is:

84878 = 21 × 311 × 372

Prime Factorization of 84882

Prime factors of 84882 are 2, 3, 7, 43, 47. Prime factorization of 84882 in exponential form is:

84882 = 21 × 31 × 71 × 431 × 471

Now multiplying the highest exponent prime factors to calculate the LCM of 84878 and 84882.

LCM(84878,84882) = 21 × 311 × 372 × 31 × 71 × 431 × 471
LCM(84878,84882) = 3602307198