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What is the Least Common Multiple of 84366 and 84373?

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 84366 and 84373 is 7118212518.

LCM(84366,84373) = 7118212518

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Least Common Multiple of 84366 and 84373 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84366 and 84373, than apply into the LCM equation.

GCF(84366,84373) = 1
LCM(84366,84373) = ( 84366 × 84373) / 1
LCM(84366,84373) = 7118212518 / 1
LCM(84366,84373) = 7118212518

Least Common Multiple (LCM) of 84366 and 84373 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84366 and 84373. First we will calculate the prime factors of 84366 and 84373.

Prime Factorization of 84366

Prime factors of 84366 are 2, 3, 43, 109. Prime factorization of 84366 in exponential form is:

84366 = 21 × 32 × 431 × 1091

Prime Factorization of 84373

Prime factors of 84373 are 139, 607. Prime factorization of 84373 in exponential form is:

84373 = 1391 × 6071

Now multiplying the highest exponent prime factors to calculate the LCM of 84366 and 84373.

LCM(84366,84373) = 21 × 32 × 431 × 1091 × 1391 × 6071
LCM(84366,84373) = 7118212518