What is the Least Common Multiple of 24988 and 24997?
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 24988 and 24997 is 624625036.
LCM(24988,24997) = 624625036
Least Common Multiple of 24988 and 24997 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24988 and 24997, than apply into the LCM equation.
GCF(24988,24997) = 1
LCM(24988,24997) = ( 24988 × 24997) / 1
LCM(24988,24997) = 624625036 / 1
LCM(24988,24997) = 624625036
Least Common Multiple (LCM) of 24988 and 24997 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 24988 and 24997. First we will calculate the prime factors of 24988 and 24997.
Prime Factorization of 24988
Prime factors of 24988 are 2, 6247. Prime factorization of 24988 in exponential form is:
24988 = 22 × 62471
Prime Factorization of 24997
Prime factors of 24997 are 7, 3571. Prime factorization of 24997 in exponential form is:
24997 = 71 × 35711
Now multiplying the highest exponent prime factors to calculate the LCM of 24988 and 24997.
LCM(24988,24997) = 22 × 62471 × 71 × 35711
LCM(24988,24997) = 624625036
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