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What is the Least Common Multiple of 69255 and 69265?

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 69265 is 959389515.

LCM(69255,69265) = 959389515

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Least Common Multiple of 69255 and 69265 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 69265, than apply into the LCM equation.

GCF(69255,69265) = 5
LCM(69255,69265) = ( 69255 × 69265) / 5
LCM(69255,69265) = 4796947575 / 5
LCM(69255,69265) = 959389515

Least Common Multiple (LCM) of 69255 and 69265 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69255 and 69265. First we will calculate the prime factors of 69255 and 69265.

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 69265

Prime factors of 69265 are 5, 7, 1979. Prime factorization of 69265 in exponential form is:

69265 = 51 × 71 × 19791

Now multiplying the highest exponent prime factors to calculate the LCM of 69255 and 69265.

LCM(69255,69265) = 36 × 51 × 191 × 71 × 19791
LCM(69255,69265) = 959389515