What is the Least Common Multiple of 6595 and 6602?
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 6595 and 6602 is 43540190.
LCM(6595,6602) = 43540190
Least Common Multiple of 6595 and 6602 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6595 and 6602, than apply into the LCM equation.
GCF(6595,6602) = 1
LCM(6595,6602) = ( 6595 × 6602) / 1
LCM(6595,6602) = 43540190 / 1
LCM(6595,6602) = 43540190
Least Common Multiple (LCM) of 6595 and 6602 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 6595 and 6602. First we will calculate the prime factors of 6595 and 6602.
Prime Factorization of 6595
Prime factors of 6595 are 5, 1319. Prime factorization of 6595 in exponential form is:
6595 = 51 × 13191
Prime Factorization of 6602
Prime factors of 6602 are 2, 3301. Prime factorization of 6602 in exponential form is:
6602 = 21 × 33011
Now multiplying the highest exponent prime factors to calculate the LCM of 6595 and 6602.
LCM(6595,6602) = 51 × 13191 × 21 × 33011
LCM(6595,6602) = 43540190
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