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What is the Least Common Multiple of 56271 and 56286?

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 56271 and 56286 is 1055756502.

LCM(56271,56286) = 1055756502

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Least Common Multiple of 56271 and 56286 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56271 and 56286, than apply into the LCM equation.

GCF(56271,56286) = 3
LCM(56271,56286) = ( 56271 × 56286) / 3
LCM(56271,56286) = 3167269506 / 3
LCM(56271,56286) = 1055756502

Least Common Multiple (LCM) of 56271 and 56286 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56271 and 56286. First we will calculate the prime factors of 56271 and 56286.

Prime Factorization of 56271

Prime factors of 56271 are 3, 18757. Prime factorization of 56271 in exponential form is:

56271 = 31 × 187571

Prime Factorization of 56286

Prime factors of 56286 are 2, 3, 53, 59. Prime factorization of 56286 in exponential form is:

56286 = 21 × 32 × 531 × 591

Now multiplying the highest exponent prime factors to calculate the LCM of 56271 and 56286.

LCM(56271,56286) = 32 × 187571 × 21 × 531 × 591
LCM(56271,56286) = 1055756502