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What is the Least Common Multiple of 68539 and 68558?

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 68539 and 68558 is 4698896762.

LCM(68539,68558) = 4698896762

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Least Common Multiple of 68539 and 68558 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68539 and 68558, than apply into the LCM equation.

GCF(68539,68558) = 1
LCM(68539,68558) = ( 68539 × 68558) / 1
LCM(68539,68558) = 4698896762 / 1
LCM(68539,68558) = 4698896762

Least Common Multiple (LCM) of 68539 and 68558 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68539 and 68558. First we will calculate the prime factors of 68539 and 68558.

Prime Factorization of 68539

Prime factors of 68539 are 68539. Prime factorization of 68539 in exponential form is:

68539 = 685391

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

Now multiplying the highest exponent prime factors to calculate the LCM of 68539 and 68558.

LCM(68539,68558) = 685391 × 21 × 71 × 591 × 831
LCM(68539,68558) = 4698896762