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What is the Least Common Multiple of 27025 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 27025 and 27030 is 146097150.

LCM(27025,27030) = 146097150

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Least Common Multiple of 27025 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 27025 and 27030, than apply into the LCM equation.

GCF(27025,27030) = 5
LCM(27025,27030) = ( 27025 × 27030) / 5
LCM(27025,27030) = 730485750 / 5
LCM(27025,27030) = 146097150

Least Common Multiple (LCM) of 27025 and 27030 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27025 and 27030. First we will calculate the prime factors of 27025 and 27030.

Prime Factorization of 27025

Prime factors of 27025 are 5, 23, 47. Prime factorization of 27025 in exponential form is:

27025 = 52 × 231 × 471

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 27025 and 27030.

LCM(27025,27030) = 52 × 231 × 471 × 21 × 31 × 171 × 531
LCM(27025,27030) = 146097150