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What is the Least Common Multiple of 84563 and 84582?

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 84563 and 84582 is 7152507666.

LCM(84563,84582) = 7152507666

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Least Common Multiple of 84563 and 84582 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84563 and 84582, than apply into the LCM equation.

GCF(84563,84582) = 1
LCM(84563,84582) = ( 84563 × 84582) / 1
LCM(84563,84582) = 7152507666 / 1
LCM(84563,84582) = 7152507666

Least Common Multiple (LCM) of 84563 and 84582 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84563 and 84582. First we will calculate the prime factors of 84563 and 84582.

Prime Factorization of 84563

Prime factors of 84563 are 103, 821. Prime factorization of 84563 in exponential form is:

84563 = 1031 × 8211

Prime Factorization of 84582

Prime factors of 84582 are 2, 3, 37, 127. Prime factorization of 84582 in exponential form is:

84582 = 21 × 32 × 371 × 1271

Now multiplying the highest exponent prime factors to calculate the LCM of 84563 and 84582.

LCM(84563,84582) = 1031 × 8211 × 21 × 32 × 371 × 1271
LCM(84563,84582) = 7152507666