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What is the Least Common Multiple of 79793 and 79801?

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 79793 and 79801 is 6367561193.

LCM(79793,79801) = 6367561193

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Least Common Multiple of 79793 and 79801 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79793 and 79801, than apply into the LCM equation.

GCF(79793,79801) = 1
LCM(79793,79801) = ( 79793 × 79801) / 1
LCM(79793,79801) = 6367561193 / 1
LCM(79793,79801) = 6367561193

Least Common Multiple (LCM) of 79793 and 79801 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79793 and 79801. First we will calculate the prime factors of 79793 and 79801.

Prime Factorization of 79793

Prime factors of 79793 are 7, 11399. Prime factorization of 79793 in exponential form is:

79793 = 71 × 113991

Prime Factorization of 79801

Prime factors of 79801 are 79801. Prime factorization of 79801 in exponential form is:

79801 = 798011

Now multiplying the highest exponent prime factors to calculate the LCM of 79793 and 79801.

LCM(79793,79801) = 71 × 113991 × 798011
LCM(79793,79801) = 6367561193