What is the Least Common Multiple of 30595 and 30605?
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 30595 and 30605 is 187271995.
LCM(30595,30605) = 187271995
Least Common Multiple of 30595 and 30605 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30595 and 30605, than apply into the LCM equation.
GCF(30595,30605) = 5
LCM(30595,30605) = ( 30595 × 30605) / 5
LCM(30595,30605) = 936359975 / 5
LCM(30595,30605) = 187271995
Least Common Multiple (LCM) of 30595 and 30605 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 30595 and 30605. First we will calculate the prime factors of 30595 and 30605.
Prime Factorization of 30595
Prime factors of 30595 are 5, 29, 211. Prime factorization of 30595 in exponential form is:
30595 = 51 × 291 × 2111
Prime Factorization of 30605
Prime factors of 30605 are 5, 6121. Prime factorization of 30605 in exponential form is:
30605 = 51 × 61211
Now multiplying the highest exponent prime factors to calculate the LCM of 30595 and 30605.
LCM(30595,30605) = 51 × 291 × 2111 × 61211
LCM(30595,30605) = 187271995
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