What is the Least Common Multiple of 564 and 568?
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 564 and 568 is 80088.
LCM(564,568) = 80088
Least Common Multiple of 564 and 568 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 564 and 568, than apply into the LCM equation.
GCF(564,568) = 4
LCM(564,568) = ( 564 × 568) / 4
LCM(564,568) = 320352 / 4
LCM(564,568) = 80088
Least Common Multiple (LCM) of 564 and 568 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 564 and 568. First we will calculate the prime factors of 564 and 568.
Prime Factorization of 564
Prime factors of 564 are 2, 3, 47. Prime factorization of 564 in exponential form is:
564 = 22 × 31 × 471
Prime Factorization of 568
Prime factors of 568 are 2, 71. Prime factorization of 568 in exponential form is:
568 = 23 × 711
Now multiplying the highest exponent prime factors to calculate the LCM of 564 and 568.
LCM(564,568) = 23 × 31 × 471 × 711
LCM(564,568) = 80088
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Related Least Common Multiples of 568
- LCM of 568 and 572
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