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What is the Least Common Multiple of 84485 and 84497?

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 84485 and 84497 is 7138729045.

LCM(84485,84497) = 7138729045

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Least Common Multiple of 84485 and 84497 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84485 and 84497, than apply into the LCM equation.

GCF(84485,84497) = 1
LCM(84485,84497) = ( 84485 × 84497) / 1
LCM(84485,84497) = 7138729045 / 1
LCM(84485,84497) = 7138729045

Least Common Multiple (LCM) of 84485 and 84497 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84485 and 84497. First we will calculate the prime factors of 84485 and 84497.

Prime Factorization of 84485

Prime factors of 84485 are 5, 61, 277. Prime factorization of 84485 in exponential form is:

84485 = 51 × 611 × 2771

Prime Factorization of 84497

Prime factors of 84497 are 7, 12071. Prime factorization of 84497 in exponential form is:

84497 = 71 × 120711

Now multiplying the highest exponent prime factors to calculate the LCM of 84485 and 84497.

LCM(84485,84497) = 51 × 611 × 2771 × 71 × 120711
LCM(84485,84497) = 7138729045