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What is the Least Common Multiple of 24019 and 24029?

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 24019 and 24029 is 577152551.

LCM(24019,24029) = 577152551

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Least Common Multiple of 24019 and 24029 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24019 and 24029, than apply into the LCM equation.

GCF(24019,24029) = 1
LCM(24019,24029) = ( 24019 × 24029) / 1
LCM(24019,24029) = 577152551 / 1
LCM(24019,24029) = 577152551

Least Common Multiple (LCM) of 24019 and 24029 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24019 and 24029. First we will calculate the prime factors of 24019 and 24029.

Prime Factorization of 24019

Prime factors of 24019 are 24019. Prime factorization of 24019 in exponential form is:

24019 = 240191

Prime Factorization of 24029

Prime factors of 24029 are 24029. Prime factorization of 24029 in exponential form is:

24029 = 240291

Now multiplying the highest exponent prime factors to calculate the LCM of 24019 and 24029.

LCM(24019,24029) = 240191 × 240291
LCM(24019,24029) = 577152551