What is the Least Common Multiple of 19017 and 19021?
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 19017 and 19021 is 361722357.
LCM(19017,19021) = 361722357
Least Common Multiple of 19017 and 19021 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19017 and 19021, than apply into the LCM equation.
GCF(19017,19021) = 1
LCM(19017,19021) = ( 19017 × 19021) / 1
LCM(19017,19021) = 361722357 / 1
LCM(19017,19021) = 361722357
Least Common Multiple (LCM) of 19017 and 19021 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 19017 and 19021. First we will calculate the prime factors of 19017 and 19021.
Prime Factorization of 19017
Prime factors of 19017 are 3, 2113. Prime factorization of 19017 in exponential form is:
19017 = 32 × 21131
Prime Factorization of 19021
Prime factors of 19021 are 23, 827. Prime factorization of 19021 in exponential form is:
19021 = 231 × 8271
Now multiplying the highest exponent prime factors to calculate the LCM of 19017 and 19021.
LCM(19017,19021) = 32 × 21131 × 231 × 8271
LCM(19017,19021) = 361722357
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