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What is the Least Common Multiple of 56179 and 56189?

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 56179 and 56189 is 3156641831.

LCM(56179,56189) = 3156641831

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Least Common Multiple of 56179 and 56189 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56179 and 56189, than apply into the LCM equation.

GCF(56179,56189) = 1
LCM(56179,56189) = ( 56179 × 56189) / 1
LCM(56179,56189) = 3156641831 / 1
LCM(56179,56189) = 3156641831

Least Common Multiple (LCM) of 56179 and 56189 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56179 and 56189. First we will calculate the prime factors of 56179 and 56189.

Prime Factorization of 56179

Prime factors of 56179 are 56179. Prime factorization of 56179 in exponential form is:

56179 = 561791

Prime Factorization of 56189

Prime factors of 56189 are 7, 23, 349. Prime factorization of 56189 in exponential form is:

56189 = 71 × 231 × 3491

Now multiplying the highest exponent prime factors to calculate the LCM of 56179 and 56189.

LCM(56179,56189) = 561791 × 71 × 231 × 3491
LCM(56179,56189) = 3156641831