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What is the Least Common Multiple of 27434 and 27446?

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 27434 and 27446 is 376476782.

LCM(27434,27446) = 376476782

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Least Common Multiple of 27434 and 27446 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27434 and 27446, than apply into the LCM equation.

GCF(27434,27446) = 2
LCM(27434,27446) = ( 27434 × 27446) / 2
LCM(27434,27446) = 752953564 / 2
LCM(27434,27446) = 376476782

Least Common Multiple (LCM) of 27434 and 27446 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27434 and 27446. First we will calculate the prime factors of 27434 and 27446.

Prime Factorization of 27434

Prime factors of 27434 are 2, 11, 29, 43. Prime factorization of 27434 in exponential form is:

27434 = 21 × 111 × 291 × 431

Prime Factorization of 27446

Prime factors of 27446 are 2, 13723. Prime factorization of 27446 in exponential form is:

27446 = 21 × 137231

Now multiplying the highest exponent prime factors to calculate the LCM of 27434 and 27446.

LCM(27434,27446) = 21 × 111 × 291 × 431 × 137231
LCM(27434,27446) = 376476782