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What is the Least Common Multiple of 27005 and 27025?

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 27005 and 27025 is 145962025.

LCM(27005,27025) = 145962025

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Least Common Multiple of 27005 and 27025 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27005 and 27025, than apply into the LCM equation.

GCF(27005,27025) = 5
LCM(27005,27025) = ( 27005 × 27025) / 5
LCM(27005,27025) = 729810125 / 5
LCM(27005,27025) = 145962025

Least Common Multiple (LCM) of 27005 and 27025 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27005 and 27025. First we will calculate the prime factors of 27005 and 27025.

Prime Factorization of 27005

Prime factors of 27005 are 5, 11, 491. Prime factorization of 27005 in exponential form is:

27005 = 51 × 111 × 4911

Prime Factorization of 27025

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

27025 = 52 × 231 × 471

Now multiplying the highest exponent prime factors to calculate the LCM of 27005 and 27025.

LCM(27005,27025) = 52 × 111 × 4911 × 231 × 471
LCM(27005,27025) = 145962025