What is the Least Common Multiple of 24871 and 24883?
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 24871 and 24883 is 618865093.
LCM(24871,24883) = 618865093
Least Common Multiple of 24871 and 24883 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24871 and 24883, than apply into the LCM equation.
GCF(24871,24883) = 1
LCM(24871,24883) = ( 24871 × 24883) / 1
LCM(24871,24883) = 618865093 / 1
LCM(24871,24883) = 618865093
Least Common Multiple (LCM) of 24871 and 24883 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 24871 and 24883. First we will calculate the prime factors of 24871 and 24883.
Prime Factorization of 24871
Prime factors of 24871 are 7, 11, 17, 19. Prime factorization of 24871 in exponential form is:
24871 = 71 × 111 × 171 × 191
Prime Factorization of 24883
Prime factors of 24883 are 149, 167. Prime factorization of 24883 in exponential form is:
24883 = 1491 × 1671
Now multiplying the highest exponent prime factors to calculate the LCM of 24871 and 24883.
LCM(24871,24883) = 71 × 111 × 171 × 191 × 1491 × 1671
LCM(24871,24883) = 618865093
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