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What is the Least Common Multiple of 2082 and 2088?

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 2082 and 2088 is 724536.

LCM(2082,2088) = 724536

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Least Common Multiple of 2082 and 2088 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2082 and 2088, than apply into the LCM equation.

GCF(2082,2088) = 6
LCM(2082,2088) = ( 2082 × 2088) / 6
LCM(2082,2088) = 4347216 / 6
LCM(2082,2088) = 724536

Least Common Multiple (LCM) of 2082 and 2088 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2082 and 2088. First we will calculate the prime factors of 2082 and 2088.

Prime Factorization of 2082

Prime factors of 2082 are 2, 3, 347. Prime factorization of 2082 in exponential form is:

2082 = 21 × 31 × 3471

Prime Factorization of 2088

Prime factors of 2088 are 2, 3, 29. Prime factorization of 2088 in exponential form is:

2088 = 23 × 32 × 291

Now multiplying the highest exponent prime factors to calculate the LCM of 2082 and 2088.

LCM(2082,2088) = 23 × 32 × 3471 × 291
LCM(2082,2088) = 724536