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What is the Least Common Multiple of 62852 and 62862?

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 62852 and 62862 is 1975501212.

LCM(62852,62862) = 1975501212

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Least Common Multiple of 62852 and 62862 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62852 and 62862, than apply into the LCM equation.

GCF(62852,62862) = 2
LCM(62852,62862) = ( 62852 × 62862) / 2
LCM(62852,62862) = 3951002424 / 2
LCM(62852,62862) = 1975501212

Least Common Multiple (LCM) of 62852 and 62862 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62852 and 62862. First we will calculate the prime factors of 62852 and 62862.

Prime Factorization of 62852

Prime factors of 62852 are 2, 19, 827. Prime factorization of 62852 in exponential form is:

62852 = 22 × 191 × 8271

Prime Factorization of 62862

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

62862 = 21 × 31 × 104771

Now multiplying the highest exponent prime factors to calculate the LCM of 62852 and 62862.

LCM(62852,62862) = 22 × 191 × 8271 × 31 × 104771
LCM(62852,62862) = 1975501212