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What is the Least Common Multiple of 56473 and 56488?

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 56473 and 56488 is 3190046824.

LCM(56473,56488) = 3190046824

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Least Common Multiple of 56473 and 56488 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56473 and 56488, than apply into the LCM equation.

GCF(56473,56488) = 1
LCM(56473,56488) = ( 56473 × 56488) / 1
LCM(56473,56488) = 3190046824 / 1
LCM(56473,56488) = 3190046824

Least Common Multiple (LCM) of 56473 and 56488 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56473 and 56488. First we will calculate the prime factors of 56473 and 56488.

Prime Factorization of 56473

Prime factors of 56473 are 56473. Prime factorization of 56473 in exponential form is:

56473 = 564731

Prime Factorization of 56488

Prime factors of 56488 are 2, 23, 307. Prime factorization of 56488 in exponential form is:

56488 = 23 × 231 × 3071

Now multiplying the highest exponent prime factors to calculate the LCM of 56473 and 56488.

LCM(56473,56488) = 564731 × 23 × 231 × 3071
LCM(56473,56488) = 3190046824