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What is the Least Common Multiple of 69071 and 69084?

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 69071 and 69084 is 4771700964.

LCM(69071,69084) = 4771700964

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Least Common Multiple of 69071 and 69084 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69071 and 69084, than apply into the LCM equation.

GCF(69071,69084) = 1
LCM(69071,69084) = ( 69071 × 69084) / 1
LCM(69071,69084) = 4771700964 / 1
LCM(69071,69084) = 4771700964

Least Common Multiple (LCM) of 69071 and 69084 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69071 and 69084. First we will calculate the prime factors of 69071 and 69084.

Prime Factorization of 69071

Prime factors of 69071 are 17, 239. Prime factorization of 69071 in exponential form is:

69071 = 172 × 2391

Prime Factorization of 69084

Prime factors of 69084 are 2, 3, 19, 101. Prime factorization of 69084 in exponential form is:

69084 = 22 × 32 × 191 × 1011

Now multiplying the highest exponent prime factors to calculate the LCM of 69071 and 69084.

LCM(69071,69084) = 172 × 2391 × 22 × 32 × 191 × 1011
LCM(69071,69084) = 4771700964