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What is the Least Common Multiple of 2017 and 2030?

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 2030 is 4094510.

LCM(2017,2030) = 4094510

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Least Common Multiple of 2017 and 2030 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 2030, than apply into the LCM equation.

GCF(2017,2030) = 1
LCM(2017,2030) = ( 2017 × 2030) / 1
LCM(2017,2030) = 4094510 / 1
LCM(2017,2030) = 4094510

Least Common Multiple (LCM) of 2017 and 2030 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2017 and 2030. First we will calculate the prime factors of 2017 and 2030.

Prime Factorization of 2017

Prime factors of 2017 are 2017. Prime factorization of 2017 in exponential form is:

2017 = 20171

Prime Factorization of 2030

Prime factors of 2030 are 2, 5, 7, 29. Prime factorization of 2030 in exponential form is:

2030 = 21 × 51 × 71 × 291

Now multiplying the highest exponent prime factors to calculate the LCM of 2017 and 2030.

LCM(2017,2030) = 20171 × 21 × 51 × 71 × 291
LCM(2017,2030) = 4094510