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What is the Least Common Multiple of 5463 and 5478?

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 5463 and 5478 is 9975438.

LCM(5463,5478) = 9975438

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Least Common Multiple of 5463 and 5478 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5463 and 5478, than apply into the LCM equation.

GCF(5463,5478) = 3
LCM(5463,5478) = ( 5463 × 5478) / 3
LCM(5463,5478) = 29926314 / 3
LCM(5463,5478) = 9975438

Least Common Multiple (LCM) of 5463 and 5478 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5463 and 5478. First we will calculate the prime factors of 5463 and 5478.

Prime Factorization of 5463

Prime factors of 5463 are 3, 607. Prime factorization of 5463 in exponential form is:

5463 = 32 × 6071

Prime Factorization of 5478

Prime factors of 5478 are 2, 3, 11, 83. Prime factorization of 5478 in exponential form is:

5478 = 21 × 31 × 111 × 831

Now multiplying the highest exponent prime factors to calculate the LCM of 5463 and 5478.

LCM(5463,5478) = 32 × 6071 × 21 × 111 × 831
LCM(5463,5478) = 9975438