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What is the Least Common Multiple of 62277 and 62297?

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 62277 and 62297 is 3879670269.

LCM(62277,62297) = 3879670269

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Least Common Multiple of 62277 and 62297 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62277 and 62297, than apply into the LCM equation.

GCF(62277,62297) = 1
LCM(62277,62297) = ( 62277 × 62297) / 1
LCM(62277,62297) = 3879670269 / 1
LCM(62277,62297) = 3879670269

Least Common Multiple (LCM) of 62277 and 62297 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62277 and 62297. First we will calculate the prime factors of 62277 and 62297.

Prime Factorization of 62277

Prime factors of 62277 are 3, 20759. Prime factorization of 62277 in exponential form is:

62277 = 31 × 207591

Prime Factorization of 62297

Prime factors of 62297 are 62297. Prime factorization of 62297 in exponential form is:

62297 = 622971

Now multiplying the highest exponent prime factors to calculate the LCM of 62277 and 62297.

LCM(62277,62297) = 31 × 207591 × 622971
LCM(62277,62297) = 3879670269