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What is the Least Common Multiple of 463 and 483?

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 463 and 483 is 223629.

LCM(463,483) = 223629

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Least Common Multiple of 463 and 483 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 463 and 483, than apply into the LCM equation.

GCF(463,483) = 1
LCM(463,483) = ( 463 × 483) / 1
LCM(463,483) = 223629 / 1
LCM(463,483) = 223629

Least Common Multiple (LCM) of 463 and 483 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 463 and 483. First we will calculate the prime factors of 463 and 483.

Prime Factorization of 463

Prime factors of 463 are 463. Prime factorization of 463 in exponential form is:

463 = 4631

Prime Factorization of 483

Prime factors of 483 are 3, 7, 23. Prime factorization of 483 in exponential form is:

483 = 31 × 71 × 231

Now multiplying the highest exponent prime factors to calculate the LCM of 463 and 483.

LCM(463,483) = 4631 × 31 × 71 × 231
LCM(463,483) = 223629