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What is the Least Common Multiple of 18659 and 18673?

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 18659 and 18673 is 348419507.

LCM(18659,18673) = 348419507

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Least Common Multiple of 18659 and 18673 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18659 and 18673, than apply into the LCM equation.

GCF(18659,18673) = 1
LCM(18659,18673) = ( 18659 × 18673) / 1
LCM(18659,18673) = 348419507 / 1
LCM(18659,18673) = 348419507

Least Common Multiple (LCM) of 18659 and 18673 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18659 and 18673. First we will calculate the prime factors of 18659 and 18673.

Prime Factorization of 18659

Prime factors of 18659 are 47, 397. Prime factorization of 18659 in exponential form is:

18659 = 471 × 3971

Prime Factorization of 18673

Prime factors of 18673 are 71, 263. Prime factorization of 18673 in exponential form is:

18673 = 711 × 2631

Now multiplying the highest exponent prime factors to calculate the LCM of 18659 and 18673.

LCM(18659,18673) = 471 × 3971 × 711 × 2631
LCM(18659,18673) = 348419507