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What is the Least Common Multiple of 62261 and 62266?

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 62266 is 3876743426.

LCM(62261,62266) = 3876743426

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Least Common Multiple of 62261 and 62266 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 62266, than apply into the LCM equation.

GCF(62261,62266) = 1
LCM(62261,62266) = ( 62261 × 62266) / 1
LCM(62261,62266) = 3876743426 / 1
LCM(62261,62266) = 3876743426

Least Common Multiple (LCM) of 62261 and 62266 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62261 and 62266. First we will calculate the prime factors of 62261 and 62266.

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 62266

Prime factors of 62266 are 2, 163, 191. Prime factorization of 62266 in exponential form is:

62266 = 21 × 1631 × 1911

Now multiplying the highest exponent prime factors to calculate the LCM of 62261 and 62266.

LCM(62261,62266) = 231 × 27071 × 21 × 1631 × 1911
LCM(62261,62266) = 3876743426