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What is the Least Common Multiple of 57106 and 57112?

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 57106 and 57112 is 1630718936.

LCM(57106,57112) = 1630718936

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Least Common Multiple of 57106 and 57112 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57106 and 57112, than apply into the LCM equation.

GCF(57106,57112) = 2
LCM(57106,57112) = ( 57106 × 57112) / 2
LCM(57106,57112) = 3261437872 / 2
LCM(57106,57112) = 1630718936

Least Common Multiple (LCM) of 57106 and 57112 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57106 and 57112. First we will calculate the prime factors of 57106 and 57112.

Prime Factorization of 57106

Prime factors of 57106 are 2, 7, 4079. Prime factorization of 57106 in exponential form is:

57106 = 21 × 71 × 40791

Prime Factorization of 57112

Prime factors of 57112 are 2, 11, 59. Prime factorization of 57112 in exponential form is:

57112 = 23 × 112 × 591

Now multiplying the highest exponent prime factors to calculate the LCM of 57106 and 57112.

LCM(57106,57112) = 23 × 71 × 40791 × 112 × 591
LCM(57106,57112) = 1630718936