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What is the Least Common Multiple of 79172 and 79191?

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 79172 and 79191 is 6269709852.

LCM(79172,79191) = 6269709852

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Least Common Multiple of 79172 and 79191 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79172 and 79191, than apply into the LCM equation.

GCF(79172,79191) = 1
LCM(79172,79191) = ( 79172 × 79191) / 1
LCM(79172,79191) = 6269709852 / 1
LCM(79172,79191) = 6269709852

Least Common Multiple (LCM) of 79172 and 79191 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79172 and 79191. First we will calculate the prime factors of 79172 and 79191.

Prime Factorization of 79172

Prime factors of 79172 are 2, 19793. Prime factorization of 79172 in exponential form is:

79172 = 22 × 197931

Prime Factorization of 79191

Prime factors of 79191 are 3, 7, 419. Prime factorization of 79191 in exponential form is:

79191 = 33 × 71 × 4191

Now multiplying the highest exponent prime factors to calculate the LCM of 79172 and 79191.

LCM(79172,79191) = 22 × 197931 × 33 × 71 × 4191
LCM(79172,79191) = 6269709852