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What is the Least Common Multiple of 56473 and 56478?

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 56478 is 3189482094.

LCM(56473,56478) = 3189482094

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Least Common Multiple of 56473 and 56478 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 56478, than apply into the LCM equation.

GCF(56473,56478) = 1
LCM(56473,56478) = ( 56473 × 56478) / 1
LCM(56473,56478) = 3189482094 / 1
LCM(56473,56478) = 3189482094

Least Common Multiple (LCM) of 56473 and 56478 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56473 and 56478. First we will calculate the prime factors of 56473 and 56478.

Prime Factorization of 56473

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

56473 = 564731

Prime Factorization of 56478

Prime factors of 56478 are 2, 3, 9413. Prime factorization of 56478 in exponential form is:

56478 = 21 × 31 × 94131

Now multiplying the highest exponent prime factors to calculate the LCM of 56473 and 56478.

LCM(56473,56478) = 564731 × 21 × 31 × 94131
LCM(56473,56478) = 3189482094