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What is the Least Common Multiple of 84077 and 84083?

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 84077 and 84083 is 7069446391.

LCM(84077,84083) = 7069446391

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Least Common Multiple of 84077 and 84083 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84077 and 84083, than apply into the LCM equation.

GCF(84077,84083) = 1
LCM(84077,84083) = ( 84077 × 84083) / 1
LCM(84077,84083) = 7069446391 / 1
LCM(84077,84083) = 7069446391

Least Common Multiple (LCM) of 84077 and 84083 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84077 and 84083. First we will calculate the prime factors of 84077 and 84083.

Prime Factorization of 84077

Prime factors of 84077 are 7, 12011. Prime factorization of 84077 in exponential form is:

84077 = 71 × 120111

Prime Factorization of 84083

Prime factors of 84083 are 47, 1789. Prime factorization of 84083 in exponential form is:

84083 = 471 × 17891

Now multiplying the highest exponent prime factors to calculate the LCM of 84077 and 84083.

LCM(84077,84083) = 71 × 120111 × 471 × 17891
LCM(84077,84083) = 7069446391