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What is the Least Common Multiple of 2380 and 2394?

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 2394 is 406980.

LCM(2380,2394) = 406980

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Least Common Multiple of 2380 and 2394 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 2394, than apply into the LCM equation.

GCF(2380,2394) = 14
LCM(2380,2394) = ( 2380 × 2394) / 14
LCM(2380,2394) = 5697720 / 14
LCM(2380,2394) = 406980

Least Common Multiple (LCM) of 2380 and 2394 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2380 and 2394. First we will calculate the prime factors of 2380 and 2394.

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 2394

Prime factors of 2394 are 2, 3, 7, 19. Prime factorization of 2394 in exponential form is:

2394 = 21 × 32 × 71 × 191

Now multiplying the highest exponent prime factors to calculate the LCM of 2380 and 2394.

LCM(2380,2394) = 22 × 51 × 71 × 171 × 32 × 191
LCM(2380,2394) = 406980