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What is the Least Common Multiple of 56116 and 56123?

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 56123 is 3149398268.

LCM(56116,56123) = 3149398268

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Least Common Multiple of 56116 and 56123 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 56123, than apply into the LCM equation.

GCF(56116,56123) = 1
LCM(56116,56123) = ( 56116 × 56123) / 1
LCM(56116,56123) = 3149398268 / 1
LCM(56116,56123) = 3149398268

Least Common Multiple (LCM) of 56116 and 56123 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56116 and 56123. First we will calculate the prime factors of 56116 and 56123.

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 56123

Prime factors of 56123 are 56123. Prime factorization of 56123 in exponential form is:

56123 = 561231

Now multiplying the highest exponent prime factors to calculate the LCM of 56116 and 56123.

LCM(56116,56123) = 22 × 140291 × 561231
LCM(56116,56123) = 3149398268