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What is the Least Common Multiple of 27155 and 27160?

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 27155 and 27160 is 147505960.

LCM(27155,27160) = 147505960

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Least Common Multiple of 27155 and 27160 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27155 and 27160, than apply into the LCM equation.

GCF(27155,27160) = 5
LCM(27155,27160) = ( 27155 × 27160) / 5
LCM(27155,27160) = 737529800 / 5
LCM(27155,27160) = 147505960

Least Common Multiple (LCM) of 27155 and 27160 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27155 and 27160. First we will calculate the prime factors of 27155 and 27160.

Prime Factorization of 27155

Prime factors of 27155 are 5, 5431. Prime factorization of 27155 in exponential form is:

27155 = 51 × 54311

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

Now multiplying the highest exponent prime factors to calculate the LCM of 27155 and 27160.

LCM(27155,27160) = 51 × 54311 × 23 × 71 × 971
LCM(27155,27160) = 147505960