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What is the Least Common Multiple of 27340 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 27340 and 27354 is 373929180.

LCM(27340,27354) = 373929180

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Least Common Multiple of 27340 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 27340 and 27354, than apply into the LCM equation.

GCF(27340,27354) = 2
LCM(27340,27354) = ( 27340 × 27354) / 2
LCM(27340,27354) = 747858360 / 2
LCM(27340,27354) = 373929180

Least Common Multiple (LCM) of 27340 and 27354 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27340 and 27354. First we will calculate the prime factors of 27340 and 27354.

Prime Factorization of 27340

Prime factors of 27340 are 2, 5, 1367. Prime factorization of 27340 in exponential form is:

27340 = 22 × 51 × 13671

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 27340 and 27354.

LCM(27340,27354) = 22 × 51 × 13671 × 31 × 471 × 971
LCM(27340,27354) = 373929180