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What is the Least Common Multiple of 56478 and 56497?

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 56478 and 56497 is 3190837566.

LCM(56478,56497) = 3190837566

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Least Common Multiple of 56478 and 56497 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56478 and 56497, than apply into the LCM equation.

GCF(56478,56497) = 1
LCM(56478,56497) = ( 56478 × 56497) / 1
LCM(56478,56497) = 3190837566 / 1
LCM(56478,56497) = 3190837566

Least Common Multiple (LCM) of 56478 and 56497 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56478 and 56497. First we will calculate the prime factors of 56478 and 56497.

Prime Factorization of 56478

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

56478 = 21 × 31 × 94131

Prime Factorization of 56497

Prime factors of 56497 are 7, 1153. Prime factorization of 56497 in exponential form is:

56497 = 72 × 11531

Now multiplying the highest exponent prime factors to calculate the LCM of 56478 and 56497.

LCM(56478,56497) = 21 × 31 × 94131 × 72 × 11531
LCM(56478,56497) = 3190837566