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What is the Least Common Multiple of 56116 and 56122?

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 56116 and 56122 is 1574671076.

LCM(56116,56122) = 1574671076

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Least Common Multiple of 56116 and 56122 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56116 and 56122, than apply into the LCM equation.

GCF(56116,56122) = 2
LCM(56116,56122) = ( 56116 × 56122) / 2
LCM(56116,56122) = 3149342152 / 2
LCM(56116,56122) = 1574671076

Least Common Multiple (LCM) of 56116 and 56122 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56116 and 56122. First we will calculate the prime factors of 56116 and 56122.

Prime Factorization of 56116

Prime factors of 56116 are 2, 14029. Prime factorization of 56116 in exponential form is:

56116 = 22 × 140291

Prime Factorization of 56122

Prime factors of 56122 are 2, 11, 2551. Prime factorization of 56122 in exponential form is:

56122 = 21 × 111 × 25511

Now multiplying the highest exponent prime factors to calculate the LCM of 56116 and 56122.

LCM(56116,56122) = 22 × 140291 × 111 × 25511
LCM(56116,56122) = 1574671076