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What is the Least Common Multiple of 84073 and 84079?

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 84073 and 84079 is 7068773767.

LCM(84073,84079) = 7068773767

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Least Common Multiple of 84073 and 84079 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84073 and 84079, than apply into the LCM equation.

GCF(84073,84079) = 1
LCM(84073,84079) = ( 84073 × 84079) / 1
LCM(84073,84079) = 7068773767 / 1
LCM(84073,84079) = 7068773767

Least Common Multiple (LCM) of 84073 and 84079 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84073 and 84079. First we will calculate the prime factors of 84073 and 84079.

Prime Factorization of 84073

Prime factors of 84073 are 11, 7643. Prime factorization of 84073 in exponential form is:

84073 = 111 × 76431

Prime Factorization of 84079

Prime factors of 84079 are 83, 1013. Prime factorization of 84079 in exponential form is:

84079 = 831 × 10131

Now multiplying the highest exponent prime factors to calculate the LCM of 84073 and 84079.

LCM(84073,84079) = 111 × 76431 × 831 × 10131
LCM(84073,84079) = 7068773767