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What is the Least Common Multiple of 2362 and 2382?

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 2362 and 2382 is 2813142.

LCM(2362,2382) = 2813142

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Least Common Multiple of 2362 and 2382 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2362 and 2382, than apply into the LCM equation.

GCF(2362,2382) = 2
LCM(2362,2382) = ( 2362 × 2382) / 2
LCM(2362,2382) = 5626284 / 2
LCM(2362,2382) = 2813142

Least Common Multiple (LCM) of 2362 and 2382 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2362 and 2382. First we will calculate the prime factors of 2362 and 2382.

Prime Factorization of 2362

Prime factors of 2362 are 2, 1181. Prime factorization of 2362 in exponential form is:

2362 = 21 × 11811

Prime Factorization of 2382

Prime factors of 2382 are 2, 3, 397. Prime factorization of 2382 in exponential form is:

2382 = 21 × 31 × 3971

Now multiplying the highest exponent prime factors to calculate the LCM of 2362 and 2382.

LCM(2362,2382) = 21 × 11811 × 31 × 3971
LCM(2362,2382) = 2813142