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What is the Least Common Multiple of 84433 and 84438?

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 84433 and 84438 is 7129353654.

LCM(84433,84438) = 7129353654

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Least Common Multiple of 84433 and 84438 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84433 and 84438, than apply into the LCM equation.

GCF(84433,84438) = 1
LCM(84433,84438) = ( 84433 × 84438) / 1
LCM(84433,84438) = 7129353654 / 1
LCM(84433,84438) = 7129353654

Least Common Multiple (LCM) of 84433 and 84438 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84433 and 84438. First we will calculate the prime factors of 84433 and 84438.

Prime Factorization of 84433

Prime factors of 84433 are 23, 3671. Prime factorization of 84433 in exponential form is:

84433 = 231 × 36711

Prime Factorization of 84438

Prime factors of 84438 are 2, 3, 4691. Prime factorization of 84438 in exponential form is:

84438 = 21 × 32 × 46911

Now multiplying the highest exponent prime factors to calculate the LCM of 84433 and 84438.

LCM(84433,84438) = 231 × 36711 × 21 × 32 × 46911
LCM(84433,84438) = 7129353654