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What is the Least Common Multiple of 68546 and 68556?

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 68546 and 68556 is 2349619788.

LCM(68546,68556) = 2349619788

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Least Common Multiple of 68546 and 68556 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68546 and 68556, than apply into the LCM equation.

GCF(68546,68556) = 2
LCM(68546,68556) = ( 68546 × 68556) / 2
LCM(68546,68556) = 4699239576 / 2
LCM(68546,68556) = 2349619788

Least Common Multiple (LCM) of 68546 and 68556 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68546 and 68556. First we will calculate the prime factors of 68546 and 68556.

Prime Factorization of 68546

Prime factors of 68546 are 2, 34273. Prime factorization of 68546 in exponential form is:

68546 = 21 × 342731

Prime Factorization of 68556

Prime factors of 68556 are 2, 3, 29, 197. Prime factorization of 68556 in exponential form is:

68556 = 22 × 31 × 291 × 1971

Now multiplying the highest exponent prime factors to calculate the LCM of 68546 and 68556.

LCM(68546,68556) = 22 × 342731 × 31 × 291 × 1971
LCM(68546,68556) = 2349619788