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What is the Least Common Multiple of 27066 and 27075?

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 27066 and 27075 is 244270650.

LCM(27066,27075) = 244270650

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Least Common Multiple of 27066 and 27075 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27066 and 27075, than apply into the LCM equation.

GCF(27066,27075) = 3
LCM(27066,27075) = ( 27066 × 27075) / 3
LCM(27066,27075) = 732811950 / 3
LCM(27066,27075) = 244270650

Least Common Multiple (LCM) of 27066 and 27075 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27066 and 27075. First we will calculate the prime factors of 27066 and 27075.

Prime Factorization of 27066

Prime factors of 27066 are 2, 3, 13, 347. Prime factorization of 27066 in exponential form is:

27066 = 21 × 31 × 131 × 3471

Prime Factorization of 27075

Prime factors of 27075 are 3, 5, 19. Prime factorization of 27075 in exponential form is:

27075 = 31 × 52 × 192

Now multiplying the highest exponent prime factors to calculate the LCM of 27066 and 27075.

LCM(27066,27075) = 21 × 31 × 131 × 3471 × 52 × 192
LCM(27066,27075) = 244270650