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What is the Least Common Multiple of 69230 and 69240?

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 69230 and 69240 is 479348520.

LCM(69230,69240) = 479348520

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Least Common Multiple of 69230 and 69240 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69230 and 69240, than apply into the LCM equation.

GCF(69230,69240) = 10
LCM(69230,69240) = ( 69230 × 69240) / 10
LCM(69230,69240) = 4793485200 / 10
LCM(69230,69240) = 479348520

Least Common Multiple (LCM) of 69230 and 69240 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69230 and 69240. First we will calculate the prime factors of 69230 and 69240.

Prime Factorization of 69230

Prime factors of 69230 are 2, 5, 7, 23, 43. Prime factorization of 69230 in exponential form is:

69230 = 21 × 51 × 71 × 231 × 431

Prime Factorization of 69240

Prime factors of 69240 are 2, 3, 5, 577. Prime factorization of 69240 in exponential form is:

69240 = 23 × 31 × 51 × 5771

Now multiplying the highest exponent prime factors to calculate the LCM of 69230 and 69240.

LCM(69230,69240) = 23 × 51 × 71 × 231 × 431 × 31 × 5771
LCM(69230,69240) = 479348520