What is the Least Common Multiple of 4918 and 4927?
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 4918 and 4927 is 24230986.
LCM(4918,4927) = 24230986
Least Common Multiple of 4918 and 4927 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4918 and 4927, than apply into the LCM equation.
GCF(4918,4927) = 1
LCM(4918,4927) = ( 4918 × 4927) / 1
LCM(4918,4927) = 24230986 / 1
LCM(4918,4927) = 24230986
Least Common Multiple (LCM) of 4918 and 4927 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 4918 and 4927. First we will calculate the prime factors of 4918 and 4927.
Prime Factorization of 4918
Prime factors of 4918 are 2, 2459. Prime factorization of 4918 in exponential form is:
4918 = 21 × 24591
Prime Factorization of 4927
Prime factors of 4927 are 13, 379. Prime factorization of 4927 in exponential form is:
4927 = 131 × 3791
Now multiplying the highest exponent prime factors to calculate the LCM of 4918 and 4927.
LCM(4918,4927) = 21 × 24591 × 131 × 3791
LCM(4918,4927) = 24230986
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