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What is the Least Common Multiple of 62862 and 62882?

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 62862 and 62882 is 1976444142.

LCM(62862,62882) = 1976444142

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Least Common Multiple of 62862 and 62882 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62862 and 62882, than apply into the LCM equation.

GCF(62862,62882) = 2
LCM(62862,62882) = ( 62862 × 62882) / 2
LCM(62862,62882) = 3952888284 / 2
LCM(62862,62882) = 1976444142

Least Common Multiple (LCM) of 62862 and 62882 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62862 and 62882. First we will calculate the prime factors of 62862 and 62882.

Prime Factorization of 62862

Prime factors of 62862 are 2, 3, 10477. Prime factorization of 62862 in exponential form is:

62862 = 21 × 31 × 104771

Prime Factorization of 62882

Prime factors of 62882 are 2, 23, 1367. Prime factorization of 62882 in exponential form is:

62882 = 21 × 231 × 13671

Now multiplying the highest exponent prime factors to calculate the LCM of 62862 and 62882.

LCM(62862,62882) = 21 × 31 × 104771 × 231 × 13671
LCM(62862,62882) = 1976444142