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What is the Least Common Multiple of 62266 and 62275?

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 62266 and 62275 is 3877615150.

LCM(62266,62275) = 3877615150

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Least Common Multiple of 62266 and 62275 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62266 and 62275, than apply into the LCM equation.

GCF(62266,62275) = 1
LCM(62266,62275) = ( 62266 × 62275) / 1
LCM(62266,62275) = 3877615150 / 1
LCM(62266,62275) = 3877615150

Least Common Multiple (LCM) of 62266 and 62275 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62266 and 62275. First we will calculate the prime factors of 62266 and 62275.

Prime Factorization of 62266

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

62266 = 21 × 1631 × 1911

Prime Factorization of 62275

Prime factors of 62275 are 5, 47, 53. Prime factorization of 62275 in exponential form is:

62275 = 52 × 471 × 531

Now multiplying the highest exponent prime factors to calculate the LCM of 62266 and 62275.

LCM(62266,62275) = 21 × 1631 × 1911 × 52 × 471 × 531
LCM(62266,62275) = 3877615150