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What is the Least Common Multiple of 56096 and 56116?

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 56096 and 56116 is 786970784.

LCM(56096,56116) = 786970784

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Least Common Multiple of 56096 and 56116 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56096 and 56116, than apply into the LCM equation.

GCF(56096,56116) = 4
LCM(56096,56116) = ( 56096 × 56116) / 4
LCM(56096,56116) = 3147883136 / 4
LCM(56096,56116) = 786970784

Least Common Multiple (LCM) of 56096 and 56116 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56096 and 56116. First we will calculate the prime factors of 56096 and 56116.

Prime Factorization of 56096

Prime factors of 56096 are 2, 1753. Prime factorization of 56096 in exponential form is:

56096 = 25 × 17531

Prime Factorization of 56116

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

56116 = 22 × 140291

Now multiplying the highest exponent prime factors to calculate the LCM of 56096 and 56116.

LCM(56096,56116) = 25 × 17531 × 140291
LCM(56096,56116) = 786970784