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What is the Least Common Multiple of 62869 and 62875?

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 62869 and 62875 is 3952888375.

LCM(62869,62875) = 3952888375

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Least Common Multiple of 62869 and 62875 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62869 and 62875, than apply into the LCM equation.

GCF(62869,62875) = 1
LCM(62869,62875) = ( 62869 × 62875) / 1
LCM(62869,62875) = 3952888375 / 1
LCM(62869,62875) = 3952888375

Least Common Multiple (LCM) of 62869 and 62875 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62869 and 62875. First we will calculate the prime factors of 62869 and 62875.

Prime Factorization of 62869

Prime factors of 62869 are 62869. Prime factorization of 62869 in exponential form is:

62869 = 628691

Prime Factorization of 62875

Prime factors of 62875 are 5, 503. Prime factorization of 62875 in exponential form is:

62875 = 53 × 5031

Now multiplying the highest exponent prime factors to calculate the LCM of 62869 and 62875.

LCM(62869,62875) = 628691 × 53 × 5031
LCM(62869,62875) = 3952888375