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What is the Least Common Multiple of 27424 and 27431?

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 27424 and 27431 is 752267744.

LCM(27424,27431) = 752267744

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Least Common Multiple of 27424 and 27431 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27424 and 27431, than apply into the LCM equation.

GCF(27424,27431) = 1
LCM(27424,27431) = ( 27424 × 27431) / 1
LCM(27424,27431) = 752267744 / 1
LCM(27424,27431) = 752267744

Least Common Multiple (LCM) of 27424 and 27431 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27424 and 27431. First we will calculate the prime factors of 27424 and 27431.

Prime Factorization of 27424

Prime factors of 27424 are 2, 857. Prime factorization of 27424 in exponential form is:

27424 = 25 × 8571

Prime Factorization of 27431

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

27431 = 274311

Now multiplying the highest exponent prime factors to calculate the LCM of 27424 and 27431.

LCM(27424,27431) = 25 × 8571 × 274311
LCM(27424,27431) = 752267744