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What is the Least Common Multiple of 62081 and 62093?

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 62081 and 62093 is 3854795533.

LCM(62081,62093) = 3854795533

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Least Common Multiple of 62081 and 62093 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62081 and 62093, than apply into the LCM equation.

GCF(62081,62093) = 1
LCM(62081,62093) = ( 62081 × 62093) / 1
LCM(62081,62093) = 3854795533 / 1
LCM(62081,62093) = 3854795533

Least Common Multiple (LCM) of 62081 and 62093 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62081 and 62093. First we will calculate the prime factors of 62081 and 62093.

Prime Factorization of 62081

Prime factors of 62081 are 62081. Prime factorization of 62081 in exponential form is:

62081 = 620811

Prime Factorization of 62093

Prime factors of 62093 are 31, 2003. Prime factorization of 62093 in exponential form is:

62093 = 311 × 20031

Now multiplying the highest exponent prime factors to calculate the LCM of 62081 and 62093.

LCM(62081,62093) = 620811 × 311 × 20031
LCM(62081,62093) = 3854795533