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What is the Least Common Multiple of 79039 and 79058?

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 79039 and 79058 is 6248665262.

LCM(79039,79058) = 6248665262

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Least Common Multiple of 79039 and 79058 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79039 and 79058, than apply into the LCM equation.

GCF(79039,79058) = 1
LCM(79039,79058) = ( 79039 × 79058) / 1
LCM(79039,79058) = 6248665262 / 1
LCM(79039,79058) = 6248665262

Least Common Multiple (LCM) of 79039 and 79058 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79039 and 79058. First we will calculate the prime factors of 79039 and 79058.

Prime Factorization of 79039

Prime factors of 79039 are 79039. Prime factorization of 79039 in exponential form is:

79039 = 790391

Prime Factorization of 79058

Prime factors of 79058 are 2, 7, 5647. Prime factorization of 79058 in exponential form is:

79058 = 21 × 71 × 56471

Now multiplying the highest exponent prime factors to calculate the LCM of 79039 and 79058.

LCM(79039,79058) = 790391 × 21 × 71 × 56471
LCM(79039,79058) = 6248665262