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What is the Least Common Multiple of 24079 and 24095?

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 24079 and 24095 is 580183505.

LCM(24079,24095) = 580183505

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Least Common Multiple of 24079 and 24095 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24079 and 24095, than apply into the LCM equation.

GCF(24079,24095) = 1
LCM(24079,24095) = ( 24079 × 24095) / 1
LCM(24079,24095) = 580183505 / 1
LCM(24079,24095) = 580183505

Least Common Multiple (LCM) of 24079 and 24095 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24079 and 24095. First we will calculate the prime factors of 24079 and 24095.

Prime Factorization of 24079

Prime factors of 24079 are 11, 199. Prime factorization of 24079 in exponential form is:

24079 = 112 × 1991

Prime Factorization of 24095

Prime factors of 24095 are 5, 61, 79. Prime factorization of 24095 in exponential form is:

24095 = 51 × 611 × 791

Now multiplying the highest exponent prime factors to calculate the LCM of 24079 and 24095.

LCM(24079,24095) = 112 × 1991 × 51 × 611 × 791
LCM(24079,24095) = 580183505