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What is the Least Common Multiple of 2370 and 2384?

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 2370 and 2384 is 2825040.

LCM(2370,2384) = 2825040

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Least Common Multiple of 2370 and 2384 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2370 and 2384, than apply into the LCM equation.

GCF(2370,2384) = 2
LCM(2370,2384) = ( 2370 × 2384) / 2
LCM(2370,2384) = 5650080 / 2
LCM(2370,2384) = 2825040

Least Common Multiple (LCM) of 2370 and 2384 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2370 and 2384. First we will calculate the prime factors of 2370 and 2384.

Prime Factorization of 2370

Prime factors of 2370 are 2, 3, 5, 79. Prime factorization of 2370 in exponential form is:

2370 = 21 × 31 × 51 × 791

Prime Factorization of 2384

Prime factors of 2384 are 2, 149. Prime factorization of 2384 in exponential form is:

2384 = 24 × 1491

Now multiplying the highest exponent prime factors to calculate the LCM of 2370 and 2384.

LCM(2370,2384) = 24 × 31 × 51 × 791 × 1491
LCM(2370,2384) = 2825040