What is the Least Common Multiple of 4989 and 5000?
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 4989 and 5000 is 24945000.
LCM(4989,5000) = 24945000
Least Common Multiple of 4989 and 5000 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4989 and 5000, than apply into the LCM equation.
GCF(4989,5000) = 1
LCM(4989,5000) = ( 4989 × 5000) / 1
LCM(4989,5000) = 24945000 / 1
LCM(4989,5000) = 24945000
Least Common Multiple (LCM) of 4989 and 5000 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 4989 and 5000. First we will calculate the prime factors of 4989 and 5000.
Prime Factorization of 4989
Prime factors of 4989 are 3, 1663. Prime factorization of 4989 in exponential form is:
4989 = 31 × 16631
Prime Factorization of 5000
Prime factors of 5000 are 2, 5. Prime factorization of 5000 in exponential form is:
5000 = 23 × 54
Now multiplying the highest exponent prime factors to calculate the LCM of 4989 and 5000.
LCM(4989,5000) = 31 × 16631 × 23 × 54
LCM(4989,5000) = 24945000
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