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What is the Least Common Multiple of 82947 and 82955?

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 82947 and 82955 is 6880868385.

LCM(82947,82955) = 6880868385

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Least Common Multiple of 82947 and 82955 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82947 and 82955, than apply into the LCM equation.

GCF(82947,82955) = 1
LCM(82947,82955) = ( 82947 × 82955) / 1
LCM(82947,82955) = 6880868385 / 1
LCM(82947,82955) = 6880868385

Least Common Multiple (LCM) of 82947 and 82955 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82947 and 82955. First we will calculate the prime factors of 82947 and 82955.

Prime Factorization of 82947

Prime factors of 82947 are 3, 43, 643. Prime factorization of 82947 in exponential form is:

82947 = 31 × 431 × 6431

Prime Factorization of 82955

Prime factors of 82955 are 5, 47, 353. Prime factorization of 82955 in exponential form is:

82955 = 51 × 471 × 3531

Now multiplying the highest exponent prime factors to calculate the LCM of 82947 and 82955.

LCM(82947,82955) = 31 × 431 × 6431 × 51 × 471 × 3531
LCM(82947,82955) = 6880868385