What is the Least Common Multiple of 4989 and 4998?
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 4998 is 8311674.
LCM(4989,4998) = 8311674
Least Common Multiple of 4989 and 4998 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 4998, than apply into the LCM equation.
GCF(4989,4998) = 3
LCM(4989,4998) = ( 4989 × 4998) / 3
LCM(4989,4998) = 24935022 / 3
LCM(4989,4998) = 8311674
Least Common Multiple (LCM) of 4989 and 4998 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 4989 and 4998. First we will calculate the prime factors of 4989 and 4998.
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 4998
Prime factors of 4998 are 2, 3, 7, 17. Prime factorization of 4998 in exponential form is:
4998 = 21 × 31 × 72 × 171
Now multiplying the highest exponent prime factors to calculate the LCM of 4989 and 4998.
LCM(4989,4998) = 31 × 16631 × 21 × 72 × 171
LCM(4989,4998) = 8311674
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