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What is the Least Common Multiple of 2301 and 2311?

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 2301 and 2311 is 5317611.

LCM(2301,2311) = 5317611

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Least Common Multiple of 2301 and 2311 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2301 and 2311, than apply into the LCM equation.

GCF(2301,2311) = 1
LCM(2301,2311) = ( 2301 × 2311) / 1
LCM(2301,2311) = 5317611 / 1
LCM(2301,2311) = 5317611

Least Common Multiple (LCM) of 2301 and 2311 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2301 and 2311. First we will calculate the prime factors of 2301 and 2311.

Prime Factorization of 2301

Prime factors of 2301 are 3, 13, 59. Prime factorization of 2301 in exponential form is:

2301 = 31 × 131 × 591

Prime Factorization of 2311

Prime factors of 2311 are 2311. Prime factorization of 2311 in exponential form is:

2311 = 23111

Now multiplying the highest exponent prime factors to calculate the LCM of 2301 and 2311.

LCM(2301,2311) = 31 × 131 × 591 × 23111
LCM(2301,2311) = 5317611