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What is the Least Common Multiple of 27431 and 27438?

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 27431 and 27438 is 752651778.

LCM(27431,27438) = 752651778

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Least Common Multiple of 27431 and 27438 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27431 and 27438, than apply into the LCM equation.

GCF(27431,27438) = 1
LCM(27431,27438) = ( 27431 × 27438) / 1
LCM(27431,27438) = 752651778 / 1
LCM(27431,27438) = 752651778

Least Common Multiple (LCM) of 27431 and 27438 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27431 and 27438. First we will calculate the prime factors of 27431 and 27438.

Prime Factorization of 27431

Prime factors of 27431 are 27431. Prime factorization of 27431 in exponential form is:

27431 = 274311

Prime Factorization of 27438

Prime factors of 27438 are 2, 3, 17, 269. Prime factorization of 27438 in exponential form is:

27438 = 21 × 31 × 171 × 2691

Now multiplying the highest exponent prime factors to calculate the LCM of 27431 and 27438.

LCM(27431,27438) = 274311 × 21 × 31 × 171 × 2691
LCM(27431,27438) = 752651778