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What is the Least Common Multiple of 56163 and 56182?

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 56163 and 56182 is 3155349666.

LCM(56163,56182) = 3155349666

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Least Common Multiple of 56163 and 56182 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56163 and 56182, than apply into the LCM equation.

GCF(56163,56182) = 1
LCM(56163,56182) = ( 56163 × 56182) / 1
LCM(56163,56182) = 3155349666 / 1
LCM(56163,56182) = 3155349666

Least Common Multiple (LCM) of 56163 and 56182 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56163 and 56182. First we will calculate the prime factors of 56163 and 56182.

Prime Factorization of 56163

Prime factors of 56163 are 3, 97, 193. Prime factorization of 56163 in exponential form is:

56163 = 31 × 971 × 1931

Prime Factorization of 56182

Prime factors of 56182 are 2, 7, 4013. Prime factorization of 56182 in exponential form is:

56182 = 21 × 71 × 40131

Now multiplying the highest exponent prime factors to calculate the LCM of 56163 and 56182.

LCM(56163,56182) = 31 × 971 × 1931 × 21 × 71 × 40131
LCM(56163,56182) = 3155349666