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What is the Least Common Multiple of 24167 and 24179?

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 24167 and 24179 is 584333893.

LCM(24167,24179) = 584333893

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Least Common Multiple of 24167 and 24179 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24167 and 24179, than apply into the LCM equation.

GCF(24167,24179) = 1
LCM(24167,24179) = ( 24167 × 24179) / 1
LCM(24167,24179) = 584333893 / 1
LCM(24167,24179) = 584333893

Least Common Multiple (LCM) of 24167 and 24179 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24167 and 24179. First we will calculate the prime factors of 24167 and 24179.

Prime Factorization of 24167

Prime factors of 24167 are 11, 13. Prime factorization of 24167 in exponential form is:

24167 = 111 × 133

Prime Factorization of 24179

Prime factors of 24179 are 24179. Prime factorization of 24179 in exponential form is:

24179 = 241791

Now multiplying the highest exponent prime factors to calculate the LCM of 24167 and 24179.

LCM(24167,24179) = 111 × 133 × 241791
LCM(24167,24179) = 584333893