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What is the Least Common Multiple of 24981 and 24995?

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 24981 and 24995 is 624400095.

LCM(24981,24995) = 624400095

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Least Common Multiple of 24981 and 24995 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24981 and 24995, than apply into the LCM equation.

GCF(24981,24995) = 1
LCM(24981,24995) = ( 24981 × 24995) / 1
LCM(24981,24995) = 624400095 / 1
LCM(24981,24995) = 624400095

Least Common Multiple (LCM) of 24981 and 24995 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24981 and 24995. First we will calculate the prime factors of 24981 and 24995.

Prime Factorization of 24981

Prime factors of 24981 are 3, 11, 757. Prime factorization of 24981 in exponential form is:

24981 = 31 × 111 × 7571

Prime Factorization of 24995

Prime factors of 24995 are 5, 4999. Prime factorization of 24995 in exponential form is:

24995 = 51 × 49991

Now multiplying the highest exponent prime factors to calculate the LCM of 24981 and 24995.

LCM(24981,24995) = 31 × 111 × 7571 × 51 × 49991
LCM(24981,24995) = 624400095