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What is the Least Common Multiple of 62261 and 62281?

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 62261 and 62281 is 3877677341.

LCM(62261,62281) = 3877677341

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Least Common Multiple of 62261 and 62281 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62261 and 62281, than apply into the LCM equation.

GCF(62261,62281) = 1
LCM(62261,62281) = ( 62261 × 62281) / 1
LCM(62261,62281) = 3877677341 / 1
LCM(62261,62281) = 3877677341

Least Common Multiple (LCM) of 62261 and 62281 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62261 and 62281. First we will calculate the prime factors of 62261 and 62281.

Prime Factorization of 62261

Prime factors of 62261 are 23, 2707. Prime factorization of 62261 in exponential form is:

62261 = 231 × 27071

Prime Factorization of 62281

Prime factors of 62281 are 61, 1021. Prime factorization of 62281 in exponential form is:

62281 = 611 × 10211

Now multiplying the highest exponent prime factors to calculate the LCM of 62261 and 62281.

LCM(62261,62281) = 231 × 27071 × 611 × 10211
LCM(62261,62281) = 3877677341