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What is the Least Common Multiple of 17727 and 17743?

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 17727 and 17743 is 314530161.

LCM(17727,17743) = 314530161

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Least Common Multiple of 17727 and 17743 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17727 and 17743, than apply into the LCM equation.

GCF(17727,17743) = 1
LCM(17727,17743) = ( 17727 × 17743) / 1
LCM(17727,17743) = 314530161 / 1
LCM(17727,17743) = 314530161

Least Common Multiple (LCM) of 17727 and 17743 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17727 and 17743. First we will calculate the prime factors of 17727 and 17743.

Prime Factorization of 17727

Prime factors of 17727 are 3, 19, 311. Prime factorization of 17727 in exponential form is:

17727 = 31 × 191 × 3111

Prime Factorization of 17743

Prime factors of 17743 are 11, 1613. Prime factorization of 17743 in exponential form is:

17743 = 111 × 16131

Now multiplying the highest exponent prime factors to calculate the LCM of 17727 and 17743.

LCM(17727,17743) = 31 × 191 × 3111 × 111 × 16131
LCM(17727,17743) = 314530161