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What is the Least Common Multiple of 27003 and 27010?

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 27003 and 27010 is 729351030.

LCM(27003,27010) = 729351030

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Least Common Multiple of 27003 and 27010 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27003 and 27010, than apply into the LCM equation.

GCF(27003,27010) = 1
LCM(27003,27010) = ( 27003 × 27010) / 1
LCM(27003,27010) = 729351030 / 1
LCM(27003,27010) = 729351030

Least Common Multiple (LCM) of 27003 and 27010 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27003 and 27010. First we will calculate the prime factors of 27003 and 27010.

Prime Factorization of 27003

Prime factors of 27003 are 3, 9001. Prime factorization of 27003 in exponential form is:

27003 = 31 × 90011

Prime Factorization of 27010

Prime factors of 27010 are 2, 5, 37, 73. Prime factorization of 27010 in exponential form is:

27010 = 21 × 51 × 371 × 731

Now multiplying the highest exponent prime factors to calculate the LCM of 27003 and 27010.

LCM(27003,27010) = 31 × 90011 × 21 × 51 × 371 × 731
LCM(27003,27010) = 729351030