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What is the Least Common Multiple of 68548 and 68554?

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 68548 and 68554 is 2349619796.

LCM(68548,68554) = 2349619796

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Least Common Multiple of 68548 and 68554 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68548 and 68554, than apply into the LCM equation.

GCF(68548,68554) = 2
LCM(68548,68554) = ( 68548 × 68554) / 2
LCM(68548,68554) = 4699239592 / 2
LCM(68548,68554) = 2349619796

Least Common Multiple (LCM) of 68548 and 68554 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68548 and 68554. First we will calculate the prime factors of 68548 and 68554.

Prime Factorization of 68548

Prime factors of 68548 are 2, 17137. Prime factorization of 68548 in exponential form is:

68548 = 22 × 171371

Prime Factorization of 68554

Prime factors of 68554 are 2, 151, 227. Prime factorization of 68554 in exponential form is:

68554 = 21 × 1511 × 2271

Now multiplying the highest exponent prime factors to calculate the LCM of 68548 and 68554.

LCM(68548,68554) = 22 × 171371 × 1511 × 2271
LCM(68548,68554) = 2349619796