What is the Least Common Multiple of 30010 and 30017?
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 30010 and 30017 is 900810170.
LCM(30010,30017) = 900810170
Least Common Multiple of 30010 and 30017 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30010 and 30017, than apply into the LCM equation.
GCF(30010,30017) = 1
LCM(30010,30017) = ( 30010 × 30017) / 1
LCM(30010,30017) = 900810170 / 1
LCM(30010,30017) = 900810170
Least Common Multiple (LCM) of 30010 and 30017 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 30010 and 30017. First we will calculate the prime factors of 30010 and 30017.
Prime Factorization of 30010
Prime factors of 30010 are 2, 5, 3001. Prime factorization of 30010 in exponential form is:
30010 = 21 × 51 × 30011
Prime Factorization of 30017
Prime factors of 30017 are 13, 2309. Prime factorization of 30017 in exponential form is:
30017 = 131 × 23091
Now multiplying the highest exponent prime factors to calculate the LCM of 30010 and 30017.
LCM(30010,30017) = 21 × 51 × 30011 × 131 × 23091
LCM(30010,30017) = 900810170
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