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What is the Least Common Multiple of 27016 and 27030?

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 27016 and 27030 is 365121240.

LCM(27016,27030) = 365121240

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Least Common Multiple of 27016 and 27030 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27016 and 27030, than apply into the LCM equation.

GCF(27016,27030) = 2
LCM(27016,27030) = ( 27016 × 27030) / 2
LCM(27016,27030) = 730242480 / 2
LCM(27016,27030) = 365121240

Least Common Multiple (LCM) of 27016 and 27030 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27016 and 27030. First we will calculate the prime factors of 27016 and 27030.

Prime Factorization of 27016

Prime factors of 27016 are 2, 11, 307. Prime factorization of 27016 in exponential form is:

27016 = 23 × 111 × 3071

Prime Factorization of 27030

Prime factors of 27030 are 2, 3, 5, 17, 53. Prime factorization of 27030 in exponential form is:

27030 = 21 × 31 × 51 × 171 × 531

Now multiplying the highest exponent prime factors to calculate the LCM of 27016 and 27030.

LCM(27016,27030) = 23 × 111 × 3071 × 31 × 51 × 171 × 531
LCM(27016,27030) = 365121240