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What is the Least Common Multiple of 2380 and 2392?

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 2380 and 2392 is 1423240.

LCM(2380,2392) = 1423240

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Least Common Multiple of 2380 and 2392 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2380 and 2392, than apply into the LCM equation.

GCF(2380,2392) = 4
LCM(2380,2392) = ( 2380 × 2392) / 4
LCM(2380,2392) = 5692960 / 4
LCM(2380,2392) = 1423240

Least Common Multiple (LCM) of 2380 and 2392 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2380 and 2392. First we will calculate the prime factors of 2380 and 2392.

Prime Factorization of 2380

Prime factors of 2380 are 2, 5, 7, 17. Prime factorization of 2380 in exponential form is:

2380 = 22 × 51 × 71 × 171

Prime Factorization of 2392

Prime factors of 2392 are 2, 13, 23. Prime factorization of 2392 in exponential form is:

2392 = 23 × 131 × 231

Now multiplying the highest exponent prime factors to calculate the LCM of 2380 and 2392.

LCM(2380,2392) = 23 × 51 × 71 × 171 × 131 × 231
LCM(2380,2392) = 1423240