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What is the Least Common Multiple of 24082 and 24086?

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 24082 and 24086 is 290019526.

LCM(24082,24086) = 290019526

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Least Common Multiple of 24082 and 24086 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24082 and 24086, than apply into the LCM equation.

GCF(24082,24086) = 2
LCM(24082,24086) = ( 24082 × 24086) / 2
LCM(24082,24086) = 580039052 / 2
LCM(24082,24086) = 290019526

Least Common Multiple (LCM) of 24082 and 24086 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24082 and 24086. First we will calculate the prime factors of 24082 and 24086.

Prime Factorization of 24082

Prime factors of 24082 are 2, 12041. Prime factorization of 24082 in exponential form is:

24082 = 21 × 120411

Prime Factorization of 24086

Prime factors of 24086 are 2, 12043. Prime factorization of 24086 in exponential form is:

24086 = 21 × 120431

Now multiplying the highest exponent prime factors to calculate the LCM of 24082 and 24086.

LCM(24082,24086) = 21 × 120411 × 120431
LCM(24082,24086) = 290019526