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What is the Least Common Multiple of 62113 and 62127?

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 62113 and 62127 is 3858894351.

LCM(62113,62127) = 3858894351

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Least Common Multiple of 62113 and 62127 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62113 and 62127, than apply into the LCM equation.

GCF(62113,62127) = 1
LCM(62113,62127) = ( 62113 × 62127) / 1
LCM(62113,62127) = 3858894351 / 1
LCM(62113,62127) = 3858894351

Least Common Multiple (LCM) of 62113 and 62127 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62113 and 62127. First we will calculate the prime factors of 62113 and 62127.

Prime Factorization of 62113

Prime factors of 62113 are 179, 347. Prime factorization of 62113 in exponential form is:

62113 = 1791 × 3471

Prime Factorization of 62127

Prime factors of 62127 are 3, 13, 59. Prime factorization of 62127 in exponential form is:

62127 = 34 × 131 × 591

Now multiplying the highest exponent prime factors to calculate the LCM of 62113 and 62127.

LCM(62113,62127) = 1791 × 3471 × 34 × 131 × 591
LCM(62113,62127) = 3858894351