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What is the Least Common Multiple of 16954 and 16959?

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 16954 and 16959 is 287522886.

LCM(16954,16959) = 287522886

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Least Common Multiple of 16954 and 16959 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16954 and 16959, than apply into the LCM equation.

GCF(16954,16959) = 1
LCM(16954,16959) = ( 16954 × 16959) / 1
LCM(16954,16959) = 287522886 / 1
LCM(16954,16959) = 287522886

Least Common Multiple (LCM) of 16954 and 16959 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16954 and 16959. First we will calculate the prime factors of 16954 and 16959.

Prime Factorization of 16954

Prime factors of 16954 are 2, 7, 173. Prime factorization of 16954 in exponential form is:

16954 = 21 × 72 × 1731

Prime Factorization of 16959

Prime factors of 16959 are 3, 5653. Prime factorization of 16959 in exponential form is:

16959 = 31 × 56531

Now multiplying the highest exponent prime factors to calculate the LCM of 16954 and 16959.

LCM(16954,16959) = 21 × 72 × 1731 × 31 × 56531
LCM(16954,16959) = 287522886