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What is the Least Common Multiple of 84883 and 84901?

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 84883 and 84901 is 7206651583.

LCM(84883,84901) = 7206651583

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Least Common Multiple of 84883 and 84901 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84883 and 84901, than apply into the LCM equation.

GCF(84883,84901) = 1
LCM(84883,84901) = ( 84883 × 84901) / 1
LCM(84883,84901) = 7206651583 / 1
LCM(84883,84901) = 7206651583

Least Common Multiple (LCM) of 84883 and 84901 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84883 and 84901. First we will calculate the prime factors of 84883 and 84901.

Prime Factorization of 84883

Prime factors of 84883 are 29, 2927. Prime factorization of 84883 in exponential form is:

84883 = 291 × 29271

Prime Factorization of 84901

Prime factors of 84901 are 59, 1439. Prime factorization of 84901 in exponential form is:

84901 = 591 × 14391

Now multiplying the highest exponent prime factors to calculate the LCM of 84883 and 84901.

LCM(84883,84901) = 291 × 29271 × 591 × 14391
LCM(84883,84901) = 7206651583