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What is the Least Common Multiple of 79476 and 79482?

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 79476 and 79482 is 1052818572.

LCM(79476,79482) = 1052818572

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Least Common Multiple of 79476 and 79482 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79476 and 79482, than apply into the LCM equation.

GCF(79476,79482) = 6
LCM(79476,79482) = ( 79476 × 79482) / 6
LCM(79476,79482) = 6316911432 / 6
LCM(79476,79482) = 1052818572

Least Common Multiple (LCM) of 79476 and 79482 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79476 and 79482. First we will calculate the prime factors of 79476 and 79482.

Prime Factorization of 79476

Prime factors of 79476 are 2, 3, 37, 179. Prime factorization of 79476 in exponential form is:

79476 = 22 × 31 × 371 × 1791

Prime Factorization of 79482

Prime factors of 79482 are 2, 3, 13, 1019. Prime factorization of 79482 in exponential form is:

79482 = 21 × 31 × 131 × 10191

Now multiplying the highest exponent prime factors to calculate the LCM of 79476 and 79482.

LCM(79476,79482) = 22 × 31 × 371 × 1791 × 131 × 10191
LCM(79476,79482) = 1052818572