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What is the Least Common Multiple of 2182 and 2188?

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 2182 and 2188 is 2387108.

LCM(2182,2188) = 2387108

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Least Common Multiple of 2182 and 2188 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2182 and 2188, than apply into the LCM equation.

GCF(2182,2188) = 2
LCM(2182,2188) = ( 2182 × 2188) / 2
LCM(2182,2188) = 4774216 / 2
LCM(2182,2188) = 2387108

Least Common Multiple (LCM) of 2182 and 2188 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2182 and 2188. First we will calculate the prime factors of 2182 and 2188.

Prime Factorization of 2182

Prime factors of 2182 are 2, 1091. Prime factorization of 2182 in exponential form is:

2182 = 21 × 10911

Prime Factorization of 2188

Prime factors of 2188 are 2, 547. Prime factorization of 2188 in exponential form is:

2188 = 22 × 5471

Now multiplying the highest exponent prime factors to calculate the LCM of 2182 and 2188.

LCM(2182,2188) = 22 × 10911 × 5471
LCM(2182,2188) = 2387108