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What is the Least Common Multiple of 7112 and 7117?

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 7112 and 7117 is 50616104.

LCM(7112,7117) = 50616104

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Least Common Multiple of 7112 and 7117 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7112 and 7117, than apply into the LCM equation.

GCF(7112,7117) = 1
LCM(7112,7117) = ( 7112 × 7117) / 1
LCM(7112,7117) = 50616104 / 1
LCM(7112,7117) = 50616104

Least Common Multiple (LCM) of 7112 and 7117 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7112 and 7117. First we will calculate the prime factors of 7112 and 7117.

Prime Factorization of 7112

Prime factors of 7112 are 2, 7, 127. Prime factorization of 7112 in exponential form is:

7112 = 23 × 71 × 1271

Prime Factorization of 7117

Prime factors of 7117 are 11, 647. Prime factorization of 7117 in exponential form is:

7117 = 111 × 6471

Now multiplying the highest exponent prime factors to calculate the LCM of 7112 and 7117.

LCM(7112,7117) = 23 × 71 × 1271 × 111 × 6471
LCM(7112,7117) = 50616104