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What is the Least Common Multiple of 56178 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 56178 and 56183 is 3156248574.

LCM(56178,56183) = 3156248574

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Least Common Multiple of 56178 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 56178 and 56183, than apply into the LCM equation.

GCF(56178,56183) = 1
LCM(56178,56183) = ( 56178 × 56183) / 1
LCM(56178,56183) = 3156248574 / 1
LCM(56178,56183) = 3156248574

Least Common Multiple (LCM) of 56178 and 56183 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56178 and 56183. First we will calculate the prime factors of 56178 and 56183.

Prime Factorization of 56178

Prime factors of 56178 are 2, 3, 3121. Prime factorization of 56178 in exponential form is:

56178 = 21 × 32 × 31211

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 56178 and 56183.

LCM(56178,56183) = 21 × 32 × 31211 × 191 × 29571
LCM(56178,56183) = 3156248574