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What is the Least Common Multiple of 56163 and 56183?

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 56183 is 3155405829.

LCM(56163,56183) = 3155405829

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Least Common Multiple of 56163 and 56183 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 56183, than apply into the LCM equation.

GCF(56163,56183) = 1
LCM(56163,56183) = ( 56163 × 56183) / 1
LCM(56163,56183) = 3155405829 / 1
LCM(56163,56183) = 3155405829

Least Common Multiple (LCM) of 56163 and 56183 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56163 and 56183. First we will calculate the prime factors of 56163 and 56183.

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 56183

Prime factors of 56183 are 19, 2957. Prime factorization of 56183 in exponential form is:

56183 = 191 × 29571

Now multiplying the highest exponent prime factors to calculate the LCM of 56163 and 56183.

LCM(56163,56183) = 31 × 971 × 1931 × 191 × 29571
LCM(56163,56183) = 3155405829