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What is the Least Common Multiple of 56792 and 56797?

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 56792 and 56797 is 3225615224.

LCM(56792,56797) = 3225615224

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Least Common Multiple of 56792 and 56797 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56792 and 56797, than apply into the LCM equation.

GCF(56792,56797) = 1
LCM(56792,56797) = ( 56792 × 56797) / 1
LCM(56792,56797) = 3225615224 / 1
LCM(56792,56797) = 3225615224

Least Common Multiple (LCM) of 56792 and 56797 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56792 and 56797. First we will calculate the prime factors of 56792 and 56797.

Prime Factorization of 56792

Prime factors of 56792 are 2, 31, 229. Prime factorization of 56792 in exponential form is:

56792 = 23 × 311 × 2291

Prime Factorization of 56797

Prime factors of 56797 are 13, 17, 257. Prime factorization of 56797 in exponential form is:

56797 = 131 × 171 × 2571

Now multiplying the highest exponent prime factors to calculate the LCM of 56792 and 56797.

LCM(56792,56797) = 23 × 311 × 2291 × 131 × 171 × 2571
LCM(56792,56797) = 3225615224