What is the Least Common Multiple of 24985 and 24991?
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 24985 and 24991 is 624400135.
LCM(24985,24991) = 624400135
Least Common Multiple of 24985 and 24991 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24985 and 24991, than apply into the LCM equation.
GCF(24985,24991) = 1
LCM(24985,24991) = ( 24985 × 24991) / 1
LCM(24985,24991) = 624400135 / 1
LCM(24985,24991) = 624400135
Least Common Multiple (LCM) of 24985 and 24991 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 24985 and 24991. First we will calculate the prime factors of 24985 and 24991.
Prime Factorization of 24985
Prime factors of 24985 are 5, 19, 263. Prime factorization of 24985 in exponential form is:
24985 = 51 × 191 × 2631
Prime Factorization of 24991
Prime factors of 24991 are 67, 373. Prime factorization of 24991 in exponential form is:
24991 = 671 × 3731
Now multiplying the highest exponent prime factors to calculate the LCM of 24985 and 24991.
LCM(24985,24991) = 51 × 191 × 2631 × 671 × 3731
LCM(24985,24991) = 624400135
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