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What is the Least Common Multiple of 68553 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 68553 and 68568 is 1566847368.

LCM(68553,68568) = 1566847368

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Least Common Multiple of 68553 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 68553 and 68568, than apply into the LCM equation.

GCF(68553,68568) = 3
LCM(68553,68568) = ( 68553 × 68568) / 3
LCM(68553,68568) = 4700542104 / 3
LCM(68553,68568) = 1566847368

Least Common Multiple (LCM) of 68553 and 68568 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68553 and 68568. First we will calculate the prime factors of 68553 and 68568.

Prime Factorization of 68553

Prime factors of 68553 are 3, 2539. Prime factorization of 68553 in exponential form is:

68553 = 33 × 25391

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 68553 and 68568.

LCM(68553,68568) = 33 × 25391 × 23 × 28571
LCM(68553,68568) = 1566847368