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What is the Least Common Multiple of 27349 and 27354?

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 27349 and 27354 is 748104546.

LCM(27349,27354) = 748104546

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Least Common Multiple of 27349 and 27354 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27349 and 27354, than apply into the LCM equation.

GCF(27349,27354) = 1
LCM(27349,27354) = ( 27349 × 27354) / 1
LCM(27349,27354) = 748104546 / 1
LCM(27349,27354) = 748104546

Least Common Multiple (LCM) of 27349 and 27354 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27349 and 27354. First we will calculate the prime factors of 27349 and 27354.

Prime Factorization of 27349

Prime factors of 27349 are 7, 3907. Prime factorization of 27349 in exponential form is:

27349 = 71 × 39071

Prime Factorization of 27354

Prime factors of 27354 are 2, 3, 47, 97. Prime factorization of 27354 in exponential form is:

27354 = 21 × 31 × 471 × 971

Now multiplying the highest exponent prime factors to calculate the LCM of 27349 and 27354.

LCM(27349,27354) = 71 × 39071 × 21 × 31 × 471 × 971
LCM(27349,27354) = 748104546