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What is the Least Common Multiple of 68562 and 68568?

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 68562 and 68568 is 783526536.

LCM(68562,68568) = 783526536

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Least Common Multiple of 68562 and 68568 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68562 and 68568, than apply into the LCM equation.

GCF(68562,68568) = 6
LCM(68562,68568) = ( 68562 × 68568) / 6
LCM(68562,68568) = 4701159216 / 6
LCM(68562,68568) = 783526536

Least Common Multiple (LCM) of 68562 and 68568 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68562 and 68568. First we will calculate the prime factors of 68562 and 68568.

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

Prime Factorization of 68568

Prime factors of 68568 are 2, 3, 2857. Prime factorization of 68568 in exponential form is:

68568 = 23 × 31 × 28571

Now multiplying the highest exponent prime factors to calculate the LCM of 68562 and 68568.

LCM(68562,68568) = 23 × 32 × 131 × 2931 × 28571
LCM(68562,68568) = 783526536