What is the Least Common Multiple of 24867 and 24887?
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 24867 and 24887 is 618865029.
LCM(24867,24887) = 618865029
Least Common Multiple of 24867 and 24887 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24867 and 24887, than apply into the LCM equation.
GCF(24867,24887) = 1
LCM(24867,24887) = ( 24867 × 24887) / 1
LCM(24867,24887) = 618865029 / 1
LCM(24867,24887) = 618865029
Least Common Multiple (LCM) of 24867 and 24887 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 24867 and 24887. First we will calculate the prime factors of 24867 and 24887.
Prime Factorization of 24867
Prime factors of 24867 are 3, 307. Prime factorization of 24867 in exponential form is:
24867 = 34 × 3071
Prime Factorization of 24887
Prime factors of 24887 are 41, 607. Prime factorization of 24887 in exponential form is:
24887 = 411 × 6071
Now multiplying the highest exponent prime factors to calculate the LCM of 24867 and 24887.
LCM(24867,24887) = 34 × 3071 × 411 × 6071
LCM(24867,24887) = 618865029
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