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What is the Least Common Multiple of 27160 and 27175?

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 27160 and 27175 is 147614600.

LCM(27160,27175) = 147614600

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Least Common Multiple of 27160 and 27175 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27160 and 27175, than apply into the LCM equation.

GCF(27160,27175) = 5
LCM(27160,27175) = ( 27160 × 27175) / 5
LCM(27160,27175) = 738073000 / 5
LCM(27160,27175) = 147614600

Least Common Multiple (LCM) of 27160 and 27175 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27160 and 27175. First we will calculate the prime factors of 27160 and 27175.

Prime Factorization of 27160

Prime factors of 27160 are 2, 5, 7, 97. Prime factorization of 27160 in exponential form is:

27160 = 23 × 51 × 71 × 971

Prime Factorization of 27175

Prime factors of 27175 are 5, 1087. Prime factorization of 27175 in exponential form is:

27175 = 52 × 10871

Now multiplying the highest exponent prime factors to calculate the LCM of 27160 and 27175.

LCM(27160,27175) = 23 × 52 × 71 × 971 × 10871
LCM(27160,27175) = 147614600