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What is the Least Common Multiple of 24886 and 24899?

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 24886 and 24899 is 619636514.

LCM(24886,24899) = 619636514

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Least Common Multiple of 24886 and 24899 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24886 and 24899, than apply into the LCM equation.

GCF(24886,24899) = 1
LCM(24886,24899) = ( 24886 × 24899) / 1
LCM(24886,24899) = 619636514 / 1
LCM(24886,24899) = 619636514

Least Common Multiple (LCM) of 24886 and 24899 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24886 and 24899. First we will calculate the prime factors of 24886 and 24899.

Prime Factorization of 24886

Prime factors of 24886 are 2, 23, 541. Prime factorization of 24886 in exponential form is:

24886 = 21 × 231 × 5411

Prime Factorization of 24899

Prime factors of 24899 are 7, 3557. Prime factorization of 24899 in exponential form is:

24899 = 71 × 35571

Now multiplying the highest exponent prime factors to calculate the LCM of 24886 and 24899.

LCM(24886,24899) = 21 × 231 × 5411 × 71 × 35571
LCM(24886,24899) = 619636514