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What is the Least Common Multiple of 24081 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 24081 and 24086 is 580014966.

LCM(24081,24086) = 580014966

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Least Common Multiple of 24081 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 24081 and 24086, than apply into the LCM equation.

GCF(24081,24086) = 1
LCM(24081,24086) = ( 24081 × 24086) / 1
LCM(24081,24086) = 580014966 / 1
LCM(24081,24086) = 580014966

Least Common Multiple (LCM) of 24081 and 24086 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24081 and 24086. First we will calculate the prime factors of 24081 and 24086.

Prime Factorization of 24081

Prime factors of 24081 are 3, 23, 349. Prime factorization of 24081 in exponential form is:

24081 = 31 × 231 × 3491

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 24081 and 24086.

LCM(24081,24086) = 31 × 231 × 3491 × 21 × 120431
LCM(24081,24086) = 580014966