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What is the Least Common Multiple of 62846 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 62846 and 62862 is 1975312626.

LCM(62846,62862) = 1975312626

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Least Common Multiple of 62846 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 62846 and 62862, than apply into the LCM equation.

GCF(62846,62862) = 2
LCM(62846,62862) = ( 62846 × 62862) / 2
LCM(62846,62862) = 3950625252 / 2
LCM(62846,62862) = 1975312626

Least Common Multiple (LCM) of 62846 and 62862 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62846 and 62862. First we will calculate the prime factors of 62846 and 62862.

Prime Factorization of 62846

Prime factors of 62846 are 2, 7, 67. Prime factorization of 62846 in exponential form is:

62846 = 21 × 71 × 672

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 62846 and 62862.

LCM(62846,62862) = 21 × 71 × 672 × 31 × 104771
LCM(62846,62862) = 1975312626