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What is the Least Common Multiple of 27060 and 27070?

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 27060 and 27070 is 73251420.

LCM(27060,27070) = 73251420

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Least Common Multiple of 27060 and 27070 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27060 and 27070, than apply into the LCM equation.

GCF(27060,27070) = 10
LCM(27060,27070) = ( 27060 × 27070) / 10
LCM(27060,27070) = 732514200 / 10
LCM(27060,27070) = 73251420

Least Common Multiple (LCM) of 27060 and 27070 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27060 and 27070. First we will calculate the prime factors of 27060 and 27070.

Prime Factorization of 27060

Prime factors of 27060 are 2, 3, 5, 11, 41. Prime factorization of 27060 in exponential form is:

27060 = 22 × 31 × 51 × 111 × 411

Prime Factorization of 27070

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

27070 = 21 × 51 × 27071

Now multiplying the highest exponent prime factors to calculate the LCM of 27060 and 27070.

LCM(27060,27070) = 22 × 31 × 51 × 111 × 411 × 27071
LCM(27060,27070) = 73251420