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What is the Least Common Multiple of 65436 and 65442?

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 65436 and 65442 is 713710452.

LCM(65436,65442) = 713710452

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Least Common Multiple of 65436 and 65442 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65436 and 65442, than apply into the LCM equation.

GCF(65436,65442) = 6
LCM(65436,65442) = ( 65436 × 65442) / 6
LCM(65436,65442) = 4282262712 / 6
LCM(65436,65442) = 713710452

Least Common Multiple (LCM) of 65436 and 65442 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65436 and 65442. First we will calculate the prime factors of 65436 and 65442.

Prime Factorization of 65436

Prime factors of 65436 are 2, 3, 7, 19, 41. Prime factorization of 65436 in exponential form is:

65436 = 22 × 31 × 71 × 191 × 411

Prime Factorization of 65442

Prime factors of 65442 are 2, 3, 13, 839. Prime factorization of 65442 in exponential form is:

65442 = 21 × 31 × 131 × 8391

Now multiplying the highest exponent prime factors to calculate the LCM of 65436 and 65442.

LCM(65436,65442) = 22 × 31 × 71 × 191 × 411 × 131 × 8391
LCM(65436,65442) = 713710452