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What is the Least Common Multiple of 27135 and 27145?

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 27135 and 27145 is 147315915.

LCM(27135,27145) = 147315915

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Least Common Multiple of 27135 and 27145 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27135 and 27145, than apply into the LCM equation.

GCF(27135,27145) = 5
LCM(27135,27145) = ( 27135 × 27145) / 5
LCM(27135,27145) = 736579575 / 5
LCM(27135,27145) = 147315915

Least Common Multiple (LCM) of 27135 and 27145 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27135 and 27145. First we will calculate the prime factors of 27135 and 27145.

Prime Factorization of 27135

Prime factors of 27135 are 3, 5, 67. Prime factorization of 27135 in exponential form is:

27135 = 34 × 51 × 671

Prime Factorization of 27145

Prime factors of 27145 are 5, 61, 89. Prime factorization of 27145 in exponential form is:

27145 = 51 × 611 × 891

Now multiplying the highest exponent prime factors to calculate the LCM of 27135 and 27145.

LCM(27135,27145) = 34 × 51 × 671 × 611 × 891
LCM(27135,27145) = 147315915