What is the Least Common Multiple of 24857 and 24877?
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 24857 and 24877 is 618367589.
LCM(24857,24877) = 618367589
Least Common Multiple of 24857 and 24877 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24857 and 24877, than apply into the LCM equation.
GCF(24857,24877) = 1
LCM(24857,24877) = ( 24857 × 24877) / 1
LCM(24857,24877) = 618367589 / 1
LCM(24857,24877) = 618367589
Least Common Multiple (LCM) of 24857 and 24877 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 24857 and 24877. First we will calculate the prime factors of 24857 and 24877.
Prime Factorization of 24857
Prime factors of 24857 are 7, 53, 67. Prime factorization of 24857 in exponential form is:
24857 = 71 × 531 × 671
Prime Factorization of 24877
Prime factors of 24877 are 24877. Prime factorization of 24877 in exponential form is:
24877 = 248771
Now multiplying the highest exponent prime factors to calculate the LCM of 24857 and 24877.
LCM(24857,24877) = 71 × 531 × 671 × 248771
LCM(24857,24877) = 618367589
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