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What is the Least Common Multiple of 16963 and 16983?

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 16963 and 16983 is 288082629.

LCM(16963,16983) = 288082629

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Least Common Multiple of 16963 and 16983 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16963 and 16983, than apply into the LCM equation.

GCF(16963,16983) = 1
LCM(16963,16983) = ( 16963 × 16983) / 1
LCM(16963,16983) = 288082629 / 1
LCM(16963,16983) = 288082629

Least Common Multiple (LCM) of 16963 and 16983 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16963 and 16983. First we will calculate the prime factors of 16963 and 16983.

Prime Factorization of 16963

Prime factors of 16963 are 16963. Prime factorization of 16963 in exponential form is:

16963 = 169631

Prime Factorization of 16983

Prime factors of 16983 are 3, 17, 37. Prime factorization of 16983 in exponential form is:

16983 = 33 × 171 × 371

Now multiplying the highest exponent prime factors to calculate the LCM of 16963 and 16983.

LCM(16963,16983) = 169631 × 33 × 171 × 371
LCM(16963,16983) = 288082629