Question 1191896: MAT 145: Topics In Contemporary Math
Use GCF or LCM to find each of the following.
4) There are two classes of periodic cicadas that are native to the Midwest: one group
emerges every 13 years and eats every tree they can find, while the other emerges ever 17
years. If they both emerge in a given year, how long will it be until they both emerge
together again?
Answer by math_tutor2020(3817)   (Show Source):
You can put this solution on YOUR website!
Answer: 221 years
Reason:
The LCM of two numbers that share no common factors, other than 1, is simply the product of the two numbers.
This applies to two primes as well (since naturally they only have factors of 1 and themselves only)
17*13 = 221
Every 221 years, the two cycles will align perfectly.
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