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What is the Least Common Multiple of 84479 and 84495?

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 84479 and 84495 is 7138053105.

LCM(84479,84495) = 7138053105

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Least Common Multiple of 84479 and 84495 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84479 and 84495, than apply into the LCM equation.

GCF(84479,84495) = 1
LCM(84479,84495) = ( 84479 × 84495) / 1
LCM(84479,84495) = 7138053105 / 1
LCM(84479,84495) = 7138053105

Least Common Multiple (LCM) of 84479 and 84495 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84479 and 84495. First we will calculate the prime factors of 84479 and 84495.

Prime Factorization of 84479

Prime factors of 84479 are 23, 3673. Prime factorization of 84479 in exponential form is:

84479 = 231 × 36731

Prime Factorization of 84495

Prime factors of 84495 are 3, 5, 43, 131. Prime factorization of 84495 in exponential form is:

84495 = 31 × 51 × 431 × 1311

Now multiplying the highest exponent prime factors to calculate the LCM of 84479 and 84495.

LCM(84479,84495) = 231 × 36731 × 31 × 51 × 431 × 1311
LCM(84479,84495) = 7138053105