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What is the Least Common Multiple of 69016 and 69027?

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 69016 and 69027 is 4763967432.

LCM(69016,69027) = 4763967432

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Least Common Multiple of 69016 and 69027 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69016 and 69027, than apply into the LCM equation.

GCF(69016,69027) = 1
LCM(69016,69027) = ( 69016 × 69027) / 1
LCM(69016,69027) = 4763967432 / 1
LCM(69016,69027) = 4763967432

Least Common Multiple (LCM) of 69016 and 69027 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69016 and 69027. First we will calculate the prime factors of 69016 and 69027.

Prime Factorization of 69016

Prime factors of 69016 are 2, 8627. Prime factorization of 69016 in exponential form is:

69016 = 23 × 86271

Prime Factorization of 69027

Prime factors of 69027 are 3, 7, 19, 173. Prime factorization of 69027 in exponential form is:

69027 = 31 × 71 × 191 × 1731

Now multiplying the highest exponent prime factors to calculate the LCM of 69016 and 69027.

LCM(69016,69027) = 23 × 86271 × 31 × 71 × 191 × 1731
LCM(69016,69027) = 4763967432