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What is the Least Common Multiple of 68558 and 68565?

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 68558 and 68565 is 671525610.

LCM(68558,68565) = 671525610

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Least Common Multiple of 68558 and 68565 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68558 and 68565, than apply into the LCM equation.

GCF(68558,68565) = 7
LCM(68558,68565) = ( 68558 × 68565) / 7
LCM(68558,68565) = 4700679270 / 7
LCM(68558,68565) = 671525610

Least Common Multiple (LCM) of 68558 and 68565 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68558 and 68565. First we will calculate the prime factors of 68558 and 68565.

Prime Factorization of 68558

Prime factors of 68558 are 2, 7, 59, 83. Prime factorization of 68558 in exponential form is:

68558 = 21 × 71 × 591 × 831

Prime Factorization of 68565

Prime factors of 68565 are 3, 5, 7, 653. Prime factorization of 68565 in exponential form is:

68565 = 31 × 51 × 71 × 6531

Now multiplying the highest exponent prime factors to calculate the LCM of 68558 and 68565.

LCM(68558,68565) = 21 × 71 × 591 × 831 × 31 × 51 × 6531
LCM(68558,68565) = 671525610