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What is the Least Common Multiple of 56459 and 56471?

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 56459 and 56471 is 3188296189.

LCM(56459,56471) = 3188296189

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Least Common Multiple of 56459 and 56471 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56459 and 56471, than apply into the LCM equation.

GCF(56459,56471) = 1
LCM(56459,56471) = ( 56459 × 56471) / 1
LCM(56459,56471) = 3188296189 / 1
LCM(56459,56471) = 3188296189

Least Common Multiple (LCM) of 56459 and 56471 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56459 and 56471. First we will calculate the prime factors of 56459 and 56471.

Prime Factorization of 56459

Prime factors of 56459 are 13, 43, 101. Prime factorization of 56459 in exponential form is:

56459 = 131 × 431 × 1011

Prime Factorization of 56471

Prime factors of 56471 are 149, 379. Prime factorization of 56471 in exponential form is:

56471 = 1491 × 3791

Now multiplying the highest exponent prime factors to calculate the LCM of 56459 and 56471.

LCM(56459,56471) = 131 × 431 × 1011 × 1491 × 3791
LCM(56459,56471) = 3188296189