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What is the Least Common Multiple of 62011 and 62017?

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 62011 and 62017 is 3845736187.

LCM(62011,62017) = 3845736187

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Least Common Multiple of 62011 and 62017 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62011 and 62017, than apply into the LCM equation.

GCF(62011,62017) = 1
LCM(62011,62017) = ( 62011 × 62017) / 1
LCM(62011,62017) = 3845736187 / 1
LCM(62011,62017) = 3845736187

Least Common Multiple (LCM) of 62011 and 62017 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62011 and 62017. First we will calculate the prime factors of 62011 and 62017.

Prime Factorization of 62011

Prime factors of 62011 are 62011. Prime factorization of 62011 in exponential form is:

62011 = 620111

Prime Factorization of 62017

Prime factors of 62017 are 62017. Prime factorization of 62017 in exponential form is:

62017 = 620171

Now multiplying the highest exponent prime factors to calculate the LCM of 62011 and 62017.

LCM(62011,62017) = 620111 × 620171
LCM(62011,62017) = 3845736187