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What is the Least Common Multiple of 69110 and 69130?

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 69130 is 477757430.

LCM(69110,69130) = 477757430

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Least Common Multiple of 69110 and 69130 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 69130, than apply into the LCM equation.

GCF(69110,69130) = 10
LCM(69110,69130) = ( 69110 × 69130) / 10
LCM(69110,69130) = 4777574300 / 10
LCM(69110,69130) = 477757430

Least Common Multiple (LCM) of 69110 and 69130 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69110 and 69130. First we will calculate the prime factors of 69110 and 69130.

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 69130

Prime factors of 69130 are 2, 5, 31, 223. Prime factorization of 69130 in exponential form is:

69130 = 21 × 51 × 311 × 2231

Now multiplying the highest exponent prime factors to calculate the LCM of 69110 and 69130.

LCM(69110,69130) = 21 × 51 × 69111 × 311 × 2231
LCM(69110,69130) = 477757430