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What is the Least Common Multiple of 18721 and 18733?

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 18721 and 18733 is 350700493.

LCM(18721,18733) = 350700493

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Least Common Multiple of 18721 and 18733 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18721 and 18733, than apply into the LCM equation.

GCF(18721,18733) = 1
LCM(18721,18733) = ( 18721 × 18733) / 1
LCM(18721,18733) = 350700493 / 1
LCM(18721,18733) = 350700493

Least Common Multiple (LCM) of 18721 and 18733 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18721 and 18733. First we will calculate the prime factors of 18721 and 18733.

Prime Factorization of 18721

Prime factors of 18721 are 97, 193. Prime factorization of 18721 in exponential form is:

18721 = 971 × 1931

Prime Factorization of 18733

Prime factors of 18733 are 11, 13, 131. Prime factorization of 18733 in exponential form is:

18733 = 111 × 131 × 1311

Now multiplying the highest exponent prime factors to calculate the LCM of 18721 and 18733.

LCM(18721,18733) = 971 × 1931 × 111 × 131 × 1311
LCM(18721,18733) = 350700493