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What is the Least Common Multiple of 27443 and 27457?

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 27443 and 27457 is 753502451.

LCM(27443,27457) = 753502451

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Least Common Multiple of 27443 and 27457 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27443 and 27457, than apply into the LCM equation.

GCF(27443,27457) = 1
LCM(27443,27457) = ( 27443 × 27457) / 1
LCM(27443,27457) = 753502451 / 1
LCM(27443,27457) = 753502451

Least Common Multiple (LCM) of 27443 and 27457 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27443 and 27457. First we will calculate the prime factors of 27443 and 27457.

Prime Factorization of 27443

Prime factors of 27443 are 13, 2111. Prime factorization of 27443 in exponential form is:

27443 = 131 × 21111

Prime Factorization of 27457

Prime factors of 27457 are 27457. Prime factorization of 27457 in exponential form is:

27457 = 274571

Now multiplying the highest exponent prime factors to calculate the LCM of 27443 and 27457.

LCM(27443,27457) = 131 × 21111 × 274571
LCM(27443,27457) = 753502451