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What is the Least Common Multiple of 62817 and 62822?

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 62817 and 62822 is 3946289574.

LCM(62817,62822) = 3946289574

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Least Common Multiple of 62817 and 62822 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62817 and 62822, than apply into the LCM equation.

GCF(62817,62822) = 1
LCM(62817,62822) = ( 62817 × 62822) / 1
LCM(62817,62822) = 3946289574 / 1
LCM(62817,62822) = 3946289574

Least Common Multiple (LCM) of 62817 and 62822 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62817 and 62822. First we will calculate the prime factors of 62817 and 62822.

Prime Factorization of 62817

Prime factors of 62817 are 3, 20939. Prime factorization of 62817 in exponential form is:

62817 = 31 × 209391

Prime Factorization of 62822

Prime factors of 62822 are 2, 101, 311. Prime factorization of 62822 in exponential form is:

62822 = 21 × 1011 × 3111

Now multiplying the highest exponent prime factors to calculate the LCM of 62817 and 62822.

LCM(62817,62822) = 31 × 209391 × 21 × 1011 × 3111
LCM(62817,62822) = 3946289574