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What is the Least Common Multiple of 62875 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 62875 and 62890 is 790841750.

LCM(62875,62890) = 790841750

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Least Common Multiple of 62875 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 62875 and 62890, than apply into the LCM equation.

GCF(62875,62890) = 5
LCM(62875,62890) = ( 62875 × 62890) / 5
LCM(62875,62890) = 3954208750 / 5
LCM(62875,62890) = 790841750

Least Common Multiple (LCM) of 62875 and 62890 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62875 and 62890. First we will calculate the prime factors of 62875 and 62890.

Prime Factorization of 62875

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

62875 = 53 × 5031

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 62875 and 62890.

LCM(62875,62890) = 53 × 5031 × 21 × 191 × 3311
LCM(62875,62890) = 790841750