What is the Least Common Multiple of 2017 and 2036?
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 2017 and 2036 is 4106612.
LCM(2017,2036) = 4106612
Least Common Multiple of 2017 and 2036 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2017 and 2036, than apply into the LCM equation.
GCF(2017,2036) = 1
LCM(2017,2036) = ( 2017 × 2036) / 1
LCM(2017,2036) = 4106612 / 1
LCM(2017,2036) = 4106612
Least Common Multiple (LCM) of 2017 and 2036 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 2017 and 2036. First we will calculate the prime factors of 2017 and 2036.
Prime Factorization of 2017
Prime factors of 2017 are 2017. Prime factorization of 2017 in exponential form is:
2017 = 20171
Prime Factorization of 2036
Prime factors of 2036 are 2, 509. Prime factorization of 2036 in exponential form is:
2036 = 22 × 5091
Now multiplying the highest exponent prime factors to calculate the LCM of 2017 and 2036.
LCM(2017,2036) = 20171 × 22 × 5091
LCM(2017,2036) = 4106612
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