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What is the Least Common Multiple of 24091 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 24091 and 24095 is 580472645.

LCM(24091,24095) = 580472645

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Least Common Multiple of 24091 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 24091 and 24095, than apply into the LCM equation.

GCF(24091,24095) = 1
LCM(24091,24095) = ( 24091 × 24095) / 1
LCM(24091,24095) = 580472645 / 1
LCM(24091,24095) = 580472645

Least Common Multiple (LCM) of 24091 and 24095 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24091 and 24095. First we will calculate the prime factors of 24091 and 24095.

Prime Factorization of 24091

Prime factors of 24091 are 24091. Prime factorization of 24091 in exponential form is:

24091 = 240911

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 24091 and 24095.

LCM(24091,24095) = 240911 × 51 × 611 × 791
LCM(24091,24095) = 580472645