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What is the Least Common Multiple of 79278 and 79291?

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 79278 and 79291 is 6286031898.

LCM(79278,79291) = 6286031898

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Least Common Multiple of 79278 and 79291 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79278 and 79291, than apply into the LCM equation.

GCF(79278,79291) = 1
LCM(79278,79291) = ( 79278 × 79291) / 1
LCM(79278,79291) = 6286031898 / 1
LCM(79278,79291) = 6286031898

Least Common Multiple (LCM) of 79278 and 79291 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79278 and 79291. First we will calculate the prime factors of 79278 and 79291.

Prime Factorization of 79278

Prime factors of 79278 are 2, 3, 73, 181. Prime factorization of 79278 in exponential form is:

79278 = 21 × 31 × 731 × 1811

Prime Factorization of 79291

Prime factors of 79291 are 37, 2143. Prime factorization of 79291 in exponential form is:

79291 = 371 × 21431

Now multiplying the highest exponent prime factors to calculate the LCM of 79278 and 79291.

LCM(79278,79291) = 21 × 31 × 731 × 1811 × 371 × 21431
LCM(79278,79291) = 6286031898