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What is the Least Common Multiple of 6242 and 6258?

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 6242 and 6258 is 19531218.

LCM(6242,6258) = 19531218

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Least Common Multiple of 6242 and 6258 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6242 and 6258, than apply into the LCM equation.

GCF(6242,6258) = 2
LCM(6242,6258) = ( 6242 × 6258) / 2
LCM(6242,6258) = 39062436 / 2
LCM(6242,6258) = 19531218

Least Common Multiple (LCM) of 6242 and 6258 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6242 and 6258. First we will calculate the prime factors of 6242 and 6258.

Prime Factorization of 6242

Prime factors of 6242 are 2, 3121. Prime factorization of 6242 in exponential form is:

6242 = 21 × 31211

Prime Factorization of 6258

Prime factors of 6258 are 2, 3, 7, 149. Prime factorization of 6258 in exponential form is:

6258 = 21 × 31 × 71 × 1491

Now multiplying the highest exponent prime factors to calculate the LCM of 6242 and 6258.

LCM(6242,6258) = 21 × 31211 × 31 × 71 × 1491
LCM(6242,6258) = 19531218