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What is the Least Common Multiple of 24699 and 24710?

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 24699 and 24710 is 610312290.

LCM(24699,24710) = 610312290

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Least Common Multiple of 24699 and 24710 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24699 and 24710, than apply into the LCM equation.

GCF(24699,24710) = 1
LCM(24699,24710) = ( 24699 × 24710) / 1
LCM(24699,24710) = 610312290 / 1
LCM(24699,24710) = 610312290

Least Common Multiple (LCM) of 24699 and 24710 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24699 and 24710. First we will calculate the prime factors of 24699 and 24710.

Prime Factorization of 24699

Prime factors of 24699 are 3, 8233. Prime factorization of 24699 in exponential form is:

24699 = 31 × 82331

Prime Factorization of 24710

Prime factors of 24710 are 2, 5, 7, 353. Prime factorization of 24710 in exponential form is:

24710 = 21 × 51 × 71 × 3531

Now multiplying the highest exponent prime factors to calculate the LCM of 24699 and 24710.

LCM(24699,24710) = 31 × 82331 × 21 × 51 × 71 × 3531
LCM(24699,24710) = 610312290