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What is the Least Common Multiple of 83537 and 83554?

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 83537 and 83554 is 6979850498.

LCM(83537,83554) = 6979850498

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Least Common Multiple of 83537 and 83554 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83537 and 83554, than apply into the LCM equation.

GCF(83537,83554) = 1
LCM(83537,83554) = ( 83537 × 83554) / 1
LCM(83537,83554) = 6979850498 / 1
LCM(83537,83554) = 6979850498

Least Common Multiple (LCM) of 83537 and 83554 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83537 and 83554. First we will calculate the prime factors of 83537 and 83554.

Prime Factorization of 83537

Prime factors of 83537 are 83537. Prime factorization of 83537 in exponential form is:

83537 = 835371

Prime Factorization of 83554

Prime factors of 83554 are 2, 41777. Prime factorization of 83554 in exponential form is:

83554 = 21 × 417771

Now multiplying the highest exponent prime factors to calculate the LCM of 83537 and 83554.

LCM(83537,83554) = 835371 × 21 × 417771
LCM(83537,83554) = 6979850498