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What is the Least Common Multiple of 24263 and 24278?

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 24263 and 24278 is 589057114.

LCM(24263,24278) = 589057114

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Least Common Multiple of 24263 and 24278 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24263 and 24278, than apply into the LCM equation.

GCF(24263,24278) = 1
LCM(24263,24278) = ( 24263 × 24278) / 1
LCM(24263,24278) = 589057114 / 1
LCM(24263,24278) = 589057114

Least Common Multiple (LCM) of 24263 and 24278 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24263 and 24278. First we will calculate the prime factors of 24263 and 24278.

Prime Factorization of 24263

Prime factors of 24263 are 19, 1277. Prime factorization of 24263 in exponential form is:

24263 = 191 × 12771

Prime Factorization of 24278

Prime factors of 24278 are 2, 61, 199. Prime factorization of 24278 in exponential form is:

24278 = 21 × 611 × 1991

Now multiplying the highest exponent prime factors to calculate the LCM of 24263 and 24278.

LCM(24263,24278) = 191 × 12771 × 21 × 611 × 1991
LCM(24263,24278) = 589057114