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What is the Least Common Multiple of 62885 and 62890?

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 62885 and 62890 is 790967530.

LCM(62885,62890) = 790967530

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Least Common Multiple of 62885 and 62890 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62885 and 62890, than apply into the LCM equation.

GCF(62885,62890) = 5
LCM(62885,62890) = ( 62885 × 62890) / 5
LCM(62885,62890) = 3954837650 / 5
LCM(62885,62890) = 790967530

Least Common Multiple (LCM) of 62885 and 62890 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62885 and 62890. First we will calculate the prime factors of 62885 and 62890.

Prime Factorization of 62885

Prime factors of 62885 are 5, 12577. Prime factorization of 62885 in exponential form is:

62885 = 51 × 125771

Prime Factorization of 62890

Prime factors of 62890 are 2, 5, 19, 331. Prime factorization of 62890 in exponential form is:

62890 = 21 × 51 × 191 × 3311

Now multiplying the highest exponent prime factors to calculate the LCM of 62885 and 62890.

LCM(62885,62890) = 51 × 125771 × 21 × 191 × 3311
LCM(62885,62890) = 790967530