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What is the Least Common Multiple of 24071 and 24079?

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 24071 and 24079 is 579605609.

LCM(24071,24079) = 579605609

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Least Common Multiple of 24071 and 24079 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24071 and 24079, than apply into the LCM equation.

GCF(24071,24079) = 1
LCM(24071,24079) = ( 24071 × 24079) / 1
LCM(24071,24079) = 579605609 / 1
LCM(24071,24079) = 579605609

Least Common Multiple (LCM) of 24071 and 24079 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24071 and 24079. First we will calculate the prime factors of 24071 and 24079.

Prime Factorization of 24071

Prime factors of 24071 are 24071. Prime factorization of 24071 in exponential form is:

24071 = 240711

Prime Factorization of 24079

Prime factors of 24079 are 11, 199. Prime factorization of 24079 in exponential form is:

24079 = 112 × 1991

Now multiplying the highest exponent prime factors to calculate the LCM of 24071 and 24079.

LCM(24071,24079) = 240711 × 112 × 1991
LCM(24071,24079) = 579605609