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What is the Least Common Multiple of 62547 and 62566?

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 62547 and 62566 is 3913315602.

LCM(62547,62566) = 3913315602

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Least Common Multiple of 62547 and 62566 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62547 and 62566, than apply into the LCM equation.

GCF(62547,62566) = 1
LCM(62547,62566) = ( 62547 × 62566) / 1
LCM(62547,62566) = 3913315602 / 1
LCM(62547,62566) = 3913315602

Least Common Multiple (LCM) of 62547 and 62566 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62547 and 62566. First we will calculate the prime factors of 62547 and 62566.

Prime Factorization of 62547

Prime factors of 62547 are 3, 20849. Prime factorization of 62547 in exponential form is:

62547 = 31 × 208491

Prime Factorization of 62566

Prime factors of 62566 are 2, 7, 41, 109. Prime factorization of 62566 in exponential form is:

62566 = 21 × 71 × 411 × 1091

Now multiplying the highest exponent prime factors to calculate the LCM of 62547 and 62566.

LCM(62547,62566) = 31 × 208491 × 21 × 71 × 411 × 1091
LCM(62547,62566) = 3913315602