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What is the Least Common Multiple of 56240 and 56247?

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 56240 and 56247 is 3163331280.

LCM(56240,56247) = 3163331280

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Least Common Multiple of 56240 and 56247 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56240 and 56247, than apply into the LCM equation.

GCF(56240,56247) = 1
LCM(56240,56247) = ( 56240 × 56247) / 1
LCM(56240,56247) = 3163331280 / 1
LCM(56240,56247) = 3163331280

Least Common Multiple (LCM) of 56240 and 56247 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56240 and 56247. First we will calculate the prime factors of 56240 and 56247.

Prime Factorization of 56240

Prime factors of 56240 are 2, 5, 19, 37. Prime factorization of 56240 in exponential form is:

56240 = 24 × 51 × 191 × 371

Prime Factorization of 56247

Prime factors of 56247 are 3, 18749. Prime factorization of 56247 in exponential form is:

56247 = 31 × 187491

Now multiplying the highest exponent prime factors to calculate the LCM of 56240 and 56247.

LCM(56240,56247) = 24 × 51 × 191 × 371 × 31 × 187491
LCM(56240,56247) = 3163331280