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What is the Least Common Multiple of 2335 and 2344?

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 2335 and 2344 is 5473240.

LCM(2335,2344) = 5473240

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Least Common Multiple of 2335 and 2344 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2335 and 2344, than apply into the LCM equation.

GCF(2335,2344) = 1
LCM(2335,2344) = ( 2335 × 2344) / 1
LCM(2335,2344) = 5473240 / 1
LCM(2335,2344) = 5473240

Least Common Multiple (LCM) of 2335 and 2344 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2335 and 2344. First we will calculate the prime factors of 2335 and 2344.

Prime Factorization of 2335

Prime factors of 2335 are 5, 467. Prime factorization of 2335 in exponential form is:

2335 = 51 × 4671

Prime Factorization of 2344

Prime factors of 2344 are 2, 293. Prime factorization of 2344 in exponential form is:

2344 = 23 × 2931

Now multiplying the highest exponent prime factors to calculate the LCM of 2335 and 2344.

LCM(2335,2344) = 51 × 4671 × 23 × 2931
LCM(2335,2344) = 5473240