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What is the Least Common Multiple of 79833 and 79841?

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 79833 and 79841 is 6373946553.

LCM(79833,79841) = 6373946553

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Least Common Multiple of 79833 and 79841 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79833 and 79841, than apply into the LCM equation.

GCF(79833,79841) = 1
LCM(79833,79841) = ( 79833 × 79841) / 1
LCM(79833,79841) = 6373946553 / 1
LCM(79833,79841) = 6373946553

Least Common Multiple (LCM) of 79833 and 79841 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79833 and 79841. First we will calculate the prime factors of 79833 and 79841.

Prime Factorization of 79833

Prime factors of 79833 are 3, 13, 23, 89. Prime factorization of 79833 in exponential form is:

79833 = 31 × 131 × 231 × 891

Prime Factorization of 79841

Prime factors of 79841 are 79841. Prime factorization of 79841 in exponential form is:

79841 = 798411

Now multiplying the highest exponent prime factors to calculate the LCM of 79833 and 79841.

LCM(79833,79841) = 31 × 131 × 231 × 891 × 798411
LCM(79833,79841) = 6373946553