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What is the Least Common Multiple of 24865 and 24869?

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 24865 and 24869 is 618367685.

LCM(24865,24869) = 618367685

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Least Common Multiple of 24865 and 24869 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24865 and 24869, than apply into the LCM equation.

GCF(24865,24869) = 1
LCM(24865,24869) = ( 24865 × 24869) / 1
LCM(24865,24869) = 618367685 / 1
LCM(24865,24869) = 618367685

Least Common Multiple (LCM) of 24865 and 24869 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24865 and 24869. First we will calculate the prime factors of 24865 and 24869.

Prime Factorization of 24865

Prime factors of 24865 are 5, 4973. Prime factorization of 24865 in exponential form is:

24865 = 51 × 49731

Prime Factorization of 24869

Prime factors of 24869 are 13, 1913. Prime factorization of 24869 in exponential form is:

24869 = 131 × 19131

Now multiplying the highest exponent prime factors to calculate the LCM of 24865 and 24869.

LCM(24865,24869) = 51 × 49731 × 131 × 19131
LCM(24865,24869) = 618367685