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What is the Least Common Multiple of 84073 and 84082?

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 84082 is 7069025986.

LCM(84073,84082) = 7069025986

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Least Common Multiple of 84073 and 84082 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 84082, than apply into the LCM equation.

GCF(84073,84082) = 1
LCM(84073,84082) = ( 84073 × 84082) / 1
LCM(84073,84082) = 7069025986 / 1
LCM(84073,84082) = 7069025986

Least Common Multiple (LCM) of 84073 and 84082 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84073 and 84082. First we will calculate the prime factors of 84073 and 84082.

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 84082

Prime factors of 84082 are 2, 17, 2473. Prime factorization of 84082 in exponential form is:

84082 = 21 × 171 × 24731

Now multiplying the highest exponent prime factors to calculate the LCM of 84073 and 84082.

LCM(84073,84082) = 111 × 76431 × 21 × 171 × 24731
LCM(84073,84082) = 7069025986