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What is the Least Common Multiple of 2042 and 2062?

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 2042 and 2062 is 2105302.

LCM(2042,2062) = 2105302

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Least Common Multiple of 2042 and 2062 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2042 and 2062, than apply into the LCM equation.

GCF(2042,2062) = 2
LCM(2042,2062) = ( 2042 × 2062) / 2
LCM(2042,2062) = 4210604 / 2
LCM(2042,2062) = 2105302

Least Common Multiple (LCM) of 2042 and 2062 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2042 and 2062. First we will calculate the prime factors of 2042 and 2062.

Prime Factorization of 2042

Prime factors of 2042 are 2, 1021. Prime factorization of 2042 in exponential form is:

2042 = 21 × 10211

Prime Factorization of 2062

Prime factors of 2062 are 2, 1031. Prime factorization of 2062 in exponential form is:

2062 = 21 × 10311

Now multiplying the highest exponent prime factors to calculate the LCM of 2042 and 2062.

LCM(2042,2062) = 21 × 10211 × 10311
LCM(2042,2062) = 2105302