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What is the Least Common Multiple of 62039 and 62047?

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 62039 and 62047 is 3849333833.

LCM(62039,62047) = 3849333833

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Least Common Multiple of 62039 and 62047 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62039 and 62047, than apply into the LCM equation.

GCF(62039,62047) = 1
LCM(62039,62047) = ( 62039 × 62047) / 1
LCM(62039,62047) = 3849333833 / 1
LCM(62039,62047) = 3849333833

Least Common Multiple (LCM) of 62039 and 62047 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62039 and 62047. First we will calculate the prime factors of 62039 and 62047.

Prime Factorization of 62039

Prime factors of 62039 are 62039. Prime factorization of 62039 in exponential form is:

62039 = 620391

Prime Factorization of 62047

Prime factors of 62047 are 62047. Prime factorization of 62047 in exponential form is:

62047 = 620471

Now multiplying the highest exponent prime factors to calculate the LCM of 62039 and 62047.

LCM(62039,62047) = 620391 × 620471
LCM(62039,62047) = 3849333833