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What is the Least Common Multiple of 68544 and 68562?

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 68544 and 68562 is 261084096.

LCM(68544,68562) = 261084096

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Least Common Multiple of 68544 and 68562 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68544 and 68562, than apply into the LCM equation.

GCF(68544,68562) = 18
LCM(68544,68562) = ( 68544 × 68562) / 18
LCM(68544,68562) = 4699513728 / 18
LCM(68544,68562) = 261084096

Least Common Multiple (LCM) of 68544 and 68562 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68544 and 68562. First we will calculate the prime factors of 68544 and 68562.

Prime Factorization of 68544

Prime factors of 68544 are 2, 3, 7, 17. Prime factorization of 68544 in exponential form is:

68544 = 26 × 32 × 71 × 171

Prime Factorization of 68562

Prime factors of 68562 are 2, 3, 13, 293. Prime factorization of 68562 in exponential form is:

68562 = 21 × 32 × 131 × 2931

Now multiplying the highest exponent prime factors to calculate the LCM of 68544 and 68562.

LCM(68544,68562) = 26 × 32 × 71 × 171 × 131 × 2931
LCM(68544,68562) = 261084096