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What is the Least Common Multiple of 69110 and 69123?

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 69110 and 69123 is 4777090530.

LCM(69110,69123) = 4777090530

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Least Common Multiple of 69110 and 69123 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69110 and 69123, than apply into the LCM equation.

GCF(69110,69123) = 1
LCM(69110,69123) = ( 69110 × 69123) / 1
LCM(69110,69123) = 4777090530 / 1
LCM(69110,69123) = 4777090530

Least Common Multiple (LCM) of 69110 and 69123 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69110 and 69123. First we will calculate the prime factors of 69110 and 69123.

Prime Factorization of 69110

Prime factors of 69110 are 2, 5, 6911. Prime factorization of 69110 in exponential form is:

69110 = 21 × 51 × 69111

Prime Factorization of 69123

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

69123 = 31 × 230411

Now multiplying the highest exponent prime factors to calculate the LCM of 69110 and 69123.

LCM(69110,69123) = 21 × 51 × 69111 × 31 × 230411
LCM(69110,69123) = 4777090530