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What is the Least Common Multiple of 84527 and 84534?

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 84527 and 84534 is 7145405418.

LCM(84527,84534) = 7145405418

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Least Common Multiple of 84527 and 84534 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84527 and 84534, than apply into the LCM equation.

GCF(84527,84534) = 1
LCM(84527,84534) = ( 84527 × 84534) / 1
LCM(84527,84534) = 7145405418 / 1
LCM(84527,84534) = 7145405418

Least Common Multiple (LCM) of 84527 and 84534 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84527 and 84534. First we will calculate the prime factors of 84527 and 84534.

Prime Factorization of 84527

Prime factors of 84527 are 181, 467. Prime factorization of 84527 in exponential form is:

84527 = 1811 × 4671

Prime Factorization of 84534

Prime factors of 84534 are 2, 3, 73, 193. Prime factorization of 84534 in exponential form is:

84534 = 21 × 31 × 731 × 1931

Now multiplying the highest exponent prime factors to calculate the LCM of 84527 and 84534.

LCM(84527,84534) = 1811 × 4671 × 21 × 31 × 731 × 1931
LCM(84527,84534) = 7145405418