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What is the Least Common Multiple of 69246 and 69255?

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 69246 and 69255 is 532847970.

LCM(69246,69255) = 532847970

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Least Common Multiple of 69246 and 69255 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69246 and 69255, than apply into the LCM equation.

GCF(69246,69255) = 9
LCM(69246,69255) = ( 69246 × 69255) / 9
LCM(69246,69255) = 4795631730 / 9
LCM(69246,69255) = 532847970

Least Common Multiple (LCM) of 69246 and 69255 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69246 and 69255. First we will calculate the prime factors of 69246 and 69255.

Prime Factorization of 69246

Prime factors of 69246 are 2, 3, 3847. Prime factorization of 69246 in exponential form is:

69246 = 21 × 32 × 38471

Prime Factorization of 69255

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

69255 = 36 × 51 × 191

Now multiplying the highest exponent prime factors to calculate the LCM of 69246 and 69255.

LCM(69246,69255) = 21 × 36 × 38471 × 51 × 191
LCM(69246,69255) = 532847970