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What is the Least Common Multiple of 69084 and 69089?

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 69084 and 69089 is 4772944476.

LCM(69084,69089) = 4772944476

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Least Common Multiple of 69084 and 69089 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69084 and 69089, than apply into the LCM equation.

GCF(69084,69089) = 1
LCM(69084,69089) = ( 69084 × 69089) / 1
LCM(69084,69089) = 4772944476 / 1
LCM(69084,69089) = 4772944476

Least Common Multiple (LCM) of 69084 and 69089 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69084 and 69089. First we will calculate the prime factors of 69084 and 69089.

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

Prime Factorization of 69089

Prime factors of 69089 are 59, 1171. Prime factorization of 69089 in exponential form is:

69089 = 591 × 11711

Now multiplying the highest exponent prime factors to calculate the LCM of 69084 and 69089.

LCM(69084,69089) = 22 × 32 × 191 × 1011 × 591 × 11711
LCM(69084,69089) = 4772944476