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What is the Least Common Multiple of 27433 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 27433 and 27438 is 752706654.

LCM(27433,27438) = 752706654

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Least Common Multiple of 27433 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 27433 and 27438, than apply into the LCM equation.

GCF(27433,27438) = 1
LCM(27433,27438) = ( 27433 × 27438) / 1
LCM(27433,27438) = 752706654 / 1
LCM(27433,27438) = 752706654

Least Common Multiple (LCM) of 27433 and 27438 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27433 and 27438. First we will calculate the prime factors of 27433 and 27438.

Prime Factorization of 27433

Prime factors of 27433 are 7, 3919. Prime factorization of 27433 in exponential form is:

27433 = 71 × 39191

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 27433 and 27438.

LCM(27433,27438) = 71 × 39191 × 21 × 31 × 171 × 2691
LCM(27433,27438) = 752706654