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What is the Least Common Multiple of 69255 and 69260?

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 69255 and 69260 is 959320260.

LCM(69255,69260) = 959320260

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Least Common Multiple of 69255 and 69260 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69255 and 69260, than apply into the LCM equation.

GCF(69255,69260) = 5
LCM(69255,69260) = ( 69255 × 69260) / 5
LCM(69255,69260) = 4796601300 / 5
LCM(69255,69260) = 959320260

Least Common Multiple (LCM) of 69255 and 69260 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69255 and 69260. First we will calculate the prime factors of 69255 and 69260.

Prime Factorization of 69255

Prime factors of 69255 are 3, 5, 19. Prime factorization of 69255 in exponential form is:

69255 = 36 × 51 × 191

Prime Factorization of 69260

Prime factors of 69260 are 2, 5, 3463. Prime factorization of 69260 in exponential form is:

69260 = 22 × 51 × 34631

Now multiplying the highest exponent prime factors to calculate the LCM of 69255 and 69260.

LCM(69255,69260) = 36 × 51 × 191 × 22 × 34631
LCM(69255,69260) = 959320260