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What is the Least Common Multiple of 260 and 271?

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 260 and 271 is 70460.

LCM(260,271) = 70460

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Least Common Multiple of 260 and 271 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 260 and 271, than apply into the LCM equation.

GCF(260,271) = 1
LCM(260,271) = ( 260 × 271) / 1
LCM(260,271) = 70460 / 1
LCM(260,271) = 70460

Least Common Multiple (LCM) of 260 and 271 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 260 and 271. First we will calculate the prime factors of 260 and 271.

Prime Factorization of 260

Prime factors of 260 are 2, 5, 13. Prime factorization of 260 in exponential form is:

260 = 22 × 51 × 131

Prime Factorization of 271

Prime factors of 271 are 271. Prime factorization of 271 in exponential form is:

271 = 2711

Now multiplying the highest exponent prime factors to calculate the LCM of 260 and 271.

LCM(260,271) = 22 × 51 × 131 × 2711
LCM(260,271) = 70460