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What is the Least Common Multiple of 27023 and 27036?

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 27023 and 27036 is 730593828.

LCM(27023,27036) = 730593828

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Least Common Multiple of 27023 and 27036 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27023 and 27036, than apply into the LCM equation.

GCF(27023,27036) = 1
LCM(27023,27036) = ( 27023 × 27036) / 1
LCM(27023,27036) = 730593828 / 1
LCM(27023,27036) = 730593828

Least Common Multiple (LCM) of 27023 and 27036 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27023 and 27036. First we will calculate the prime factors of 27023 and 27036.

Prime Factorization of 27023

Prime factors of 27023 are 61, 443. Prime factorization of 27023 in exponential form is:

27023 = 611 × 4431

Prime Factorization of 27036

Prime factors of 27036 are 2, 3, 751. Prime factorization of 27036 in exponential form is:

27036 = 22 × 32 × 7511

Now multiplying the highest exponent prime factors to calculate the LCM of 27023 and 27036.

LCM(27023,27036) = 611 × 4431 × 22 × 32 × 7511
LCM(27023,27036) = 730593828