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What is the Least Common Multiple of 79817 and 79837?

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 79817 and 79837 is 6372349829.

LCM(79817,79837) = 6372349829

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Least Common Multiple of 79817 and 79837 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79817 and 79837, than apply into the LCM equation.

GCF(79817,79837) = 1
LCM(79817,79837) = ( 79817 × 79837) / 1
LCM(79817,79837) = 6372349829 / 1
LCM(79817,79837) = 6372349829

Least Common Multiple (LCM) of 79817 and 79837 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79817 and 79837. First we will calculate the prime factors of 79817 and 79837.

Prime Factorization of 79817

Prime factors of 79817 are 79817. Prime factorization of 79817 in exponential form is:

79817 = 798171

Prime Factorization of 79837

Prime factors of 79837 are 29, 2753. Prime factorization of 79837 in exponential form is:

79837 = 291 × 27531

Now multiplying the highest exponent prime factors to calculate the LCM of 79817 and 79837.

LCM(79817,79837) = 798171 × 291 × 27531
LCM(79817,79837) = 6372349829