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What is the Least Common Multiple of 27445 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 27445 and 27457 is 753557365.

LCM(27445,27457) = 753557365

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Least Common Multiple of 27445 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 27445 and 27457, than apply into the LCM equation.

GCF(27445,27457) = 1
LCM(27445,27457) = ( 27445 × 27457) / 1
LCM(27445,27457) = 753557365 / 1
LCM(27445,27457) = 753557365

Least Common Multiple (LCM) of 27445 and 27457 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27445 and 27457. First we will calculate the prime factors of 27445 and 27457.

Prime Factorization of 27445

Prime factors of 27445 are 5, 11, 499. Prime factorization of 27445 in exponential form is:

27445 = 51 × 111 × 4991

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 27445 and 27457.

LCM(27445,27457) = 51 × 111 × 4991 × 274571
LCM(27445,27457) = 753557365