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What is the Least Common Multiple of 27334 and 27351?

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 27334 and 27351 is 747612234.

LCM(27334,27351) = 747612234

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Least Common Multiple of 27334 and 27351 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27334 and 27351, than apply into the LCM equation.

GCF(27334,27351) = 1
LCM(27334,27351) = ( 27334 × 27351) / 1
LCM(27334,27351) = 747612234 / 1
LCM(27334,27351) = 747612234

Least Common Multiple (LCM) of 27334 and 27351 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27334 and 27351. First we will calculate the prime factors of 27334 and 27351.

Prime Factorization of 27334

Prime factors of 27334 are 2, 79, 173. Prime factorization of 27334 in exponential form is:

27334 = 21 × 791 × 1731

Prime Factorization of 27351

Prime factors of 27351 are 3, 1013. Prime factorization of 27351 in exponential form is:

27351 = 33 × 10131

Now multiplying the highest exponent prime factors to calculate the LCM of 27334 and 27351.

LCM(27334,27351) = 21 × 791 × 1731 × 33 × 10131
LCM(27334,27351) = 747612234