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# The smallest three-digit number is 100 and the largest is 999
start = 100
end = 999

# Find the Least Common Multiple (LCM) of 6 and 13
import math

def lcm(a, b):
    return abs(a * b) // math.gcd(a, b)

lcm_6_13 = lcm(6, 13)

# Find the first and last three-digit numbers divisible by the LCM
first = (start + lcm_6_13 - 1) // lcm_6_13 * lcm_6_13
last = end // lcm_6_13 * lcm_6_13

# Calculate the count of numbers divisible by the LCM in the range
count = (last - first) // lcm_6_13 + 1
count
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