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What is the Least Common Multiple of 84673 and 84681?

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 84673 and 84681 is 7170194313.

LCM(84673,84681) = 7170194313

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Least Common Multiple of 84673 and 84681 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84673 and 84681, than apply into the LCM equation.

GCF(84673,84681) = 1
LCM(84673,84681) = ( 84673 × 84681) / 1
LCM(84673,84681) = 7170194313 / 1
LCM(84673,84681) = 7170194313

Least Common Multiple (LCM) of 84673 and 84681 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84673 and 84681. First we will calculate the prime factors of 84673 and 84681.

Prime Factorization of 84673

Prime factors of 84673 are 84673. Prime factorization of 84673 in exponential form is:

84673 = 846731

Prime Factorization of 84681

Prime factors of 84681 are 3, 97. Prime factorization of 84681 in exponential form is:

84681 = 32 × 972

Now multiplying the highest exponent prime factors to calculate the LCM of 84673 and 84681.

LCM(84673,84681) = 846731 × 32 × 972
LCM(84673,84681) = 7170194313