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What is the Least Common Multiple of 62285 and 62294?

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 62285 and 62294 is 3879981790.

LCM(62285,62294) = 3879981790

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Least Common Multiple of 62285 and 62294 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62285 and 62294, than apply into the LCM equation.

GCF(62285,62294) = 1
LCM(62285,62294) = ( 62285 × 62294) / 1
LCM(62285,62294) = 3879981790 / 1
LCM(62285,62294) = 3879981790

Least Common Multiple (LCM) of 62285 and 62294 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62285 and 62294. First we will calculate the prime factors of 62285 and 62294.

Prime Factorization of 62285

Prime factors of 62285 are 5, 12457. Prime factorization of 62285 in exponential form is:

62285 = 51 × 124571

Prime Factorization of 62294

Prime factors of 62294 are 2, 31147. Prime factorization of 62294 in exponential form is:

62294 = 21 × 311471

Now multiplying the highest exponent prime factors to calculate the LCM of 62285 and 62294.

LCM(62285,62294) = 51 × 124571 × 21 × 311471
LCM(62285,62294) = 3879981790