What is the Least Common Multiple of 4885 and 4905?
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 4885 and 4905 is 4792185.
LCM(4885,4905) = 4792185
Least Common Multiple of 4885 and 4905 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4885 and 4905, than apply into the LCM equation.
GCF(4885,4905) = 5
LCM(4885,4905) = ( 4885 × 4905) / 5
LCM(4885,4905) = 23960925 / 5
LCM(4885,4905) = 4792185
Least Common Multiple (LCM) of 4885 and 4905 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 4885 and 4905. First we will calculate the prime factors of 4885 and 4905.
Prime Factorization of 4885
Prime factors of 4885 are 5, 977. Prime factorization of 4885 in exponential form is:
4885 = 51 × 9771
Prime Factorization of 4905
Prime factors of 4905 are 3, 5, 109. Prime factorization of 4905 in exponential form is:
4905 = 32 × 51 × 1091
Now multiplying the highest exponent prime factors to calculate the LCM of 4885 and 4905.
LCM(4885,4905) = 51 × 9771 × 32 × 1091
LCM(4885,4905) = 4792185
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