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What is the Least Common Multiple of 27060 and 27064?

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 27064 is 183087960.

LCM(27060,27064) = 183087960

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Least Common Multiple of 27060 and 27064 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 27064, than apply into the LCM equation.

GCF(27060,27064) = 4
LCM(27060,27064) = ( 27060 × 27064) / 4
LCM(27060,27064) = 732351840 / 4
LCM(27060,27064) = 183087960

Least Common Multiple (LCM) of 27060 and 27064 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27060 and 27064. First we will calculate the prime factors of 27060 and 27064.

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 27064

Prime factors of 27064 are 2, 17, 199. Prime factorization of 27064 in exponential form is:

27064 = 23 × 171 × 1991

Now multiplying the highest exponent prime factors to calculate the LCM of 27060 and 27064.

LCM(27060,27064) = 23 × 31 × 51 × 111 × 411 × 171 × 1991
LCM(27060,27064) = 183087960