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What is the Least Common Multiple of 62278 and 62285?

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 62278 and 62285 is 3878985230.

LCM(62278,62285) = 3878985230

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Least Common Multiple of 62278 and 62285 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62278 and 62285, than apply into the LCM equation.

GCF(62278,62285) = 1
LCM(62278,62285) = ( 62278 × 62285) / 1
LCM(62278,62285) = 3878985230 / 1
LCM(62278,62285) = 3878985230

Least Common Multiple (LCM) of 62278 and 62285 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62278 and 62285. First we will calculate the prime factors of 62278 and 62285.

Prime Factorization of 62278

Prime factors of 62278 are 2, 31139. Prime factorization of 62278 in exponential form is:

62278 = 21 × 311391

Prime Factorization of 62285

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

62285 = 51 × 124571

Now multiplying the highest exponent prime factors to calculate the LCM of 62278 and 62285.

LCM(62278,62285) = 21 × 311391 × 51 × 124571
LCM(62278,62285) = 3878985230