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What is the Least Common Multiple of 69103 and 69112?

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 69103 and 69112 is 4775846536.

LCM(69103,69112) = 4775846536

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Least Common Multiple of 69103 and 69112 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69103 and 69112, than apply into the LCM equation.

GCF(69103,69112) = 1
LCM(69103,69112) = ( 69103 × 69112) / 1
LCM(69103,69112) = 4775846536 / 1
LCM(69103,69112) = 4775846536

Least Common Multiple (LCM) of 69103 and 69112 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69103 and 69112. First we will calculate the prime factors of 69103 and 69112.

Prime Factorization of 69103

Prime factors of 69103 are 19, 3637. Prime factorization of 69103 in exponential form is:

69103 = 191 × 36371

Prime Factorization of 69112

Prime factors of 69112 are 2, 53, 163. Prime factorization of 69112 in exponential form is:

69112 = 23 × 531 × 1631

Now multiplying the highest exponent prime factors to calculate the LCM of 69103 and 69112.

LCM(69103,69112) = 191 × 36371 × 23 × 531 × 1631
LCM(69103,69112) = 4775846536