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What is the Least Common Multiple of 62027 and 62042?

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 62027 and 62042 is 3848279134.

LCM(62027,62042) = 3848279134

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Least Common Multiple of 62027 and 62042 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62027 and 62042, than apply into the LCM equation.

GCF(62027,62042) = 1
LCM(62027,62042) = ( 62027 × 62042) / 1
LCM(62027,62042) = 3848279134 / 1
LCM(62027,62042) = 3848279134

Least Common Multiple (LCM) of 62027 and 62042 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62027 and 62042. First we will calculate the prime factors of 62027 and 62042.

Prime Factorization of 62027

Prime factors of 62027 are 7, 8861. Prime factorization of 62027 in exponential form is:

62027 = 71 × 88611

Prime Factorization of 62042

Prime factors of 62042 are 2, 67, 463. Prime factorization of 62042 in exponential form is:

62042 = 21 × 671 × 4631

Now multiplying the highest exponent prime factors to calculate the LCM of 62027 and 62042.

LCM(62027,62042) = 71 × 88611 × 21 × 671 × 4631
LCM(62027,62042) = 3848279134