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What is the Least Common Multiple of 62243 and 62261?

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 62243 and 62261 is 3875311423.

LCM(62243,62261) = 3875311423

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Least Common Multiple of 62243 and 62261 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62243 and 62261, than apply into the LCM equation.

GCF(62243,62261) = 1
LCM(62243,62261) = ( 62243 × 62261) / 1
LCM(62243,62261) = 3875311423 / 1
LCM(62243,62261) = 3875311423

Least Common Multiple (LCM) of 62243 and 62261 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62243 and 62261. First we will calculate the prime factors of 62243 and 62261.

Prime Factorization of 62243

Prime factors of 62243 are 67, 929. Prime factorization of 62243 in exponential form is:

62243 = 671 × 9291

Prime Factorization of 62261

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

62261 = 231 × 27071

Now multiplying the highest exponent prime factors to calculate the LCM of 62243 and 62261.

LCM(62243,62261) = 671 × 9291 × 231 × 27071
LCM(62243,62261) = 3875311423