What is the Least Common Multiple of 4903 and 4911?
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 4903 and 4911 is 24078633.
LCM(4903,4911) = 24078633
Least Common Multiple of 4903 and 4911 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4903 and 4911, than apply into the LCM equation.
GCF(4903,4911) = 1
LCM(4903,4911) = ( 4903 × 4911) / 1
LCM(4903,4911) = 24078633 / 1
LCM(4903,4911) = 24078633
Least Common Multiple (LCM) of 4903 and 4911 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 4903 and 4911. First we will calculate the prime factors of 4903 and 4911.
Prime Factorization of 4903
Prime factors of 4903 are 4903. Prime factorization of 4903 in exponential form is:
4903 = 49031
Prime Factorization of 4911
Prime factors of 4911 are 3, 1637. Prime factorization of 4911 in exponential form is:
4911 = 31 × 16371
Now multiplying the highest exponent prime factors to calculate the LCM of 4903 and 4911.
LCM(4903,4911) = 49031 × 31 × 16371
LCM(4903,4911) = 24078633
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