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What is the Least Common Multiple of 69123 and 69129?

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 69123 and 69129 is 1592801289.

LCM(69123,69129) = 1592801289

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Least Common Multiple of 69123 and 69129 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69123 and 69129, than apply into the LCM equation.

GCF(69123,69129) = 3
LCM(69123,69129) = ( 69123 × 69129) / 3
LCM(69123,69129) = 4778403867 / 3
LCM(69123,69129) = 1592801289

Least Common Multiple (LCM) of 69123 and 69129 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69123 and 69129. First we will calculate the prime factors of 69123 and 69129.

Prime Factorization of 69123

Prime factors of 69123 are 3, 23041. Prime factorization of 69123 in exponential form is:

69123 = 31 × 230411

Prime Factorization of 69129

Prime factors of 69129 are 3, 7681. Prime factorization of 69129 in exponential form is:

69129 = 32 × 76811

Now multiplying the highest exponent prime factors to calculate the LCM of 69123 and 69129.

LCM(69123,69129) = 32 × 230411 × 76811
LCM(69123,69129) = 1592801289