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What is the Least Common Multiple of 62821 and 62829?

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 62821 and 62829 is 3946980609.

LCM(62821,62829) = 3946980609

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Least Common Multiple of 62821 and 62829 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62821 and 62829, than apply into the LCM equation.

GCF(62821,62829) = 1
LCM(62821,62829) = ( 62821 × 62829) / 1
LCM(62821,62829) = 3946980609 / 1
LCM(62821,62829) = 3946980609

Least Common Multiple (LCM) of 62821 and 62829 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62821 and 62829. First we will calculate the prime factors of 62821 and 62829.

Prime Factorization of 62821

Prime factors of 62821 are 11, 5711. Prime factorization of 62821 in exponential form is:

62821 = 111 × 57111

Prime Factorization of 62829

Prime factors of 62829 are 3, 13, 179. Prime factorization of 62829 in exponential form is:

62829 = 33 × 131 × 1791

Now multiplying the highest exponent prime factors to calculate the LCM of 62821 and 62829.

LCM(62821,62829) = 111 × 57111 × 33 × 131 × 1791
LCM(62821,62829) = 3946980609