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What is the Least Common Multiple of 2260 and 2271?

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 2260 and 2271 is 5132460.

LCM(2260,2271) = 5132460

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Least Common Multiple of 2260 and 2271 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2260 and 2271, than apply into the LCM equation.

GCF(2260,2271) = 1
LCM(2260,2271) = ( 2260 × 2271) / 1
LCM(2260,2271) = 5132460 / 1
LCM(2260,2271) = 5132460

Least Common Multiple (LCM) of 2260 and 2271 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2260 and 2271. First we will calculate the prime factors of 2260 and 2271.

Prime Factorization of 2260

Prime factors of 2260 are 2, 5, 113. Prime factorization of 2260 in exponential form is:

2260 = 22 × 51 × 1131

Prime Factorization of 2271

Prime factors of 2271 are 3, 757. Prime factorization of 2271 in exponential form is:

2271 = 31 × 7571

Now multiplying the highest exponent prime factors to calculate the LCM of 2260 and 2271.

LCM(2260,2271) = 22 × 51 × 1131 × 31 × 7571
LCM(2260,2271) = 5132460