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What is the Least Common Multiple of 5453 and 5463?

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 5453 and 5463 is 29789739.

LCM(5453,5463) = 29789739

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Least Common Multiple of 5453 and 5463 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5453 and 5463, than apply into the LCM equation.

GCF(5453,5463) = 1
LCM(5453,5463) = ( 5453 × 5463) / 1
LCM(5453,5463) = 29789739 / 1
LCM(5453,5463) = 29789739

Least Common Multiple (LCM) of 5453 and 5463 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5453 and 5463. First we will calculate the prime factors of 5453 and 5463.

Prime Factorization of 5453

Prime factors of 5453 are 7, 19, 41. Prime factorization of 5453 in exponential form is:

5453 = 71 × 191 × 411

Prime Factorization of 5463

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

5463 = 32 × 6071

Now multiplying the highest exponent prime factors to calculate the LCM of 5453 and 5463.

LCM(5453,5463) = 71 × 191 × 411 × 32 × 6071
LCM(5453,5463) = 29789739