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What is the Least Common Multiple of 62889 and 62899?

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 62889 and 62899 is 3955655211.

LCM(62889,62899) = 3955655211

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Least Common Multiple of 62889 and 62899 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62889 and 62899, than apply into the LCM equation.

GCF(62889,62899) = 1
LCM(62889,62899) = ( 62889 × 62899) / 1
LCM(62889,62899) = 3955655211 / 1
LCM(62889,62899) = 3955655211

Least Common Multiple (LCM) of 62889 and 62899 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62889 and 62899. First we will calculate the prime factors of 62889 and 62899.

Prime Factorization of 62889

Prime factors of 62889 are 3, 20963. Prime factorization of 62889 in exponential form is:

62889 = 31 × 209631

Prime Factorization of 62899

Prime factors of 62899 are 31, 2029. Prime factorization of 62899 in exponential form is:

62899 = 311 × 20291

Now multiplying the highest exponent prime factors to calculate the LCM of 62889 and 62899.

LCM(62889,62899) = 31 × 209631 × 311 × 20291
LCM(62889,62899) = 3955655211