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What is the Least Common Multiple of 27046 and 27051?

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 27046 and 27051 is 731621346.

LCM(27046,27051) = 731621346

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Least Common Multiple of 27046 and 27051 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27046 and 27051, than apply into the LCM equation.

GCF(27046,27051) = 1
LCM(27046,27051) = ( 27046 × 27051) / 1
LCM(27046,27051) = 731621346 / 1
LCM(27046,27051) = 731621346

Least Common Multiple (LCM) of 27046 and 27051 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27046 and 27051. First we will calculate the prime factors of 27046 and 27051.

Prime Factorization of 27046

Prime factors of 27046 are 2, 13523. Prime factorization of 27046 in exponential form is:

27046 = 21 × 135231

Prime Factorization of 27051

Prime factors of 27051 are 3, 71, 127. Prime factorization of 27051 in exponential form is:

27051 = 31 × 711 × 1271

Now multiplying the highest exponent prime factors to calculate the LCM of 27046 and 27051.

LCM(27046,27051) = 21 × 135231 × 31 × 711 × 1271
LCM(27046,27051) = 731621346