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What is the Least Common Multiple of 56117 and 56125?

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 56117 and 56125 is 3149566625.

LCM(56117,56125) = 3149566625

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Least Common Multiple of 56117 and 56125 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56117 and 56125, than apply into the LCM equation.

GCF(56117,56125) = 1
LCM(56117,56125) = ( 56117 × 56125) / 1
LCM(56117,56125) = 3149566625 / 1
LCM(56117,56125) = 3149566625

Least Common Multiple (LCM) of 56117 and 56125 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56117 and 56125. First we will calculate the prime factors of 56117 and 56125.

Prime Factorization of 56117

Prime factors of 56117 are 17, 3301. Prime factorization of 56117 in exponential form is:

56117 = 171 × 33011

Prime Factorization of 56125

Prime factors of 56125 are 5, 449. Prime factorization of 56125 in exponential form is:

56125 = 53 × 4491

Now multiplying the highest exponent prime factors to calculate the LCM of 56117 and 56125.

LCM(56117,56125) = 171 × 33011 × 53 × 4491
LCM(56117,56125) = 3149566625