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What is the Least Common Multiple of 2022 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 2022 and 2030 is 2052330.

LCM(2022,2030) = 2052330

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Least Common Multiple of 2022 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 2022 and 2030, than apply into the LCM equation.

GCF(2022,2030) = 2
LCM(2022,2030) = ( 2022 × 2030) / 2
LCM(2022,2030) = 4104660 / 2
LCM(2022,2030) = 2052330

Least Common Multiple (LCM) of 2022 and 2030 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2022 and 2030. First we will calculate the prime factors of 2022 and 2030.

Prime Factorization of 2022

Prime factors of 2022 are 2, 3, 337. Prime factorization of 2022 in exponential form is:

2022 = 21 × 31 × 3371

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 2022 and 2030.

LCM(2022,2030) = 21 × 31 × 3371 × 51 × 71 × 291
LCM(2022,2030) = 2052330