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What is the Least Common Multiple of 62859 and 62878?

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 62859 and 62878 is 3952448202.

LCM(62859,62878) = 3952448202

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Least Common Multiple of 62859 and 62878 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62859 and 62878, than apply into the LCM equation.

GCF(62859,62878) = 1
LCM(62859,62878) = ( 62859 × 62878) / 1
LCM(62859,62878) = 3952448202 / 1
LCM(62859,62878) = 3952448202

Least Common Multiple (LCM) of 62859 and 62878 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62859 and 62878. First we will calculate the prime factors of 62859 and 62878.

Prime Factorization of 62859

Prime factors of 62859 are 3, 23, 911. Prime factorization of 62859 in exponential form is:

62859 = 31 × 231 × 9111

Prime Factorization of 62878

Prime factors of 62878 are 2, 149, 211. Prime factorization of 62878 in exponential form is:

62878 = 21 × 1491 × 2111

Now multiplying the highest exponent prime factors to calculate the LCM of 62859 and 62878.

LCM(62859,62878) = 31 × 231 × 9111 × 21 × 1491 × 2111
LCM(62859,62878) = 3952448202