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What is the Least Common Multiple of 27070 and 27087?

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 27070 and 27087 is 733245090.

LCM(27070,27087) = 733245090

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Least Common Multiple of 27070 and 27087 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27070 and 27087, than apply into the LCM equation.

GCF(27070,27087) = 1
LCM(27070,27087) = ( 27070 × 27087) / 1
LCM(27070,27087) = 733245090 / 1
LCM(27070,27087) = 733245090

Least Common Multiple (LCM) of 27070 and 27087 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27070 and 27087. First we will calculate the prime factors of 27070 and 27087.

Prime Factorization of 27070

Prime factors of 27070 are 2, 5, 2707. Prime factorization of 27070 in exponential form is:

27070 = 21 × 51 × 27071

Prime Factorization of 27087

Prime factors of 27087 are 3, 9029. Prime factorization of 27087 in exponential form is:

27087 = 31 × 90291

Now multiplying the highest exponent prime factors to calculate the LCM of 27070 and 27087.

LCM(27070,27087) = 21 × 51 × 27071 × 31 × 90291
LCM(27070,27087) = 733245090