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What is the Least Common Multiple of 62104 and 62112?

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 62104 and 62112 is 482175456.

LCM(62104,62112) = 482175456

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Least Common Multiple of 62104 and 62112 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62104 and 62112, than apply into the LCM equation.

GCF(62104,62112) = 8
LCM(62104,62112) = ( 62104 × 62112) / 8
LCM(62104,62112) = 3857403648 / 8
LCM(62104,62112) = 482175456

Least Common Multiple (LCM) of 62104 and 62112 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62104 and 62112. First we will calculate the prime factors of 62104 and 62112.

Prime Factorization of 62104

Prime factors of 62104 are 2, 7, 1109. Prime factorization of 62104 in exponential form is:

62104 = 23 × 71 × 11091

Prime Factorization of 62112

Prime factors of 62112 are 2, 3, 647. Prime factorization of 62112 in exponential form is:

62112 = 25 × 31 × 6471

Now multiplying the highest exponent prime factors to calculate the LCM of 62104 and 62112.

LCM(62104,62112) = 25 × 71 × 11091 × 31 × 6471
LCM(62104,62112) = 482175456