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What is the Least Common Multiple of 27040 and 27059?

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 27040 and 27059 is 731675360.

LCM(27040,27059) = 731675360

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Least Common Multiple of 27040 and 27059 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27040 and 27059, than apply into the LCM equation.

GCF(27040,27059) = 1
LCM(27040,27059) = ( 27040 × 27059) / 1
LCM(27040,27059) = 731675360 / 1
LCM(27040,27059) = 731675360

Least Common Multiple (LCM) of 27040 and 27059 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27040 and 27059. First we will calculate the prime factors of 27040 and 27059.

Prime Factorization of 27040

Prime factors of 27040 are 2, 5, 13. Prime factorization of 27040 in exponential form is:

27040 = 25 × 51 × 132

Prime Factorization of 27059

Prime factors of 27059 are 27059. Prime factorization of 27059 in exponential form is:

27059 = 270591

Now multiplying the highest exponent prime factors to calculate the LCM of 27040 and 27059.

LCM(27040,27059) = 25 × 51 × 132 × 270591
LCM(27040,27059) = 731675360