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What is the Least Common Multiple of 69230 and 69245?

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 69245 is 958766270.

LCM(69230,69245) = 958766270

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Least Common Multiple of 69230 and 69245 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 69245, than apply into the LCM equation.

GCF(69230,69245) = 5
LCM(69230,69245) = ( 69230 × 69245) / 5
LCM(69230,69245) = 4793831350 / 5
LCM(69230,69245) = 958766270

Least Common Multiple (LCM) of 69230 and 69245 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69230 and 69245. First we will calculate the prime factors of 69230 and 69245.

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 69245

Prime factors of 69245 are 5, 11, 1259. Prime factorization of 69245 in exponential form is:

69245 = 51 × 111 × 12591

Now multiplying the highest exponent prime factors to calculate the LCM of 69230 and 69245.

LCM(69230,69245) = 21 × 51 × 71 × 231 × 431 × 111 × 12591
LCM(69230,69245) = 958766270