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Find the LCM of 18,72.

Find the LCM of 1818,7272.

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Full solution

Q. Find the LCM of 1818,7272.
  1. List Prime Factors: List the prime factors of each number.\newline18=2×3×3=2×3218 = 2 \times 3 \times 3 = 2 \times 3^2\newline72=2×2×2×3×3=23×3272 = 2 \times 2 \times 2 \times 3 \times 3 = 2^3 \times 3^2
  2. Identify Highest Powers: Identify the highest powers of all prime factors present in the numbers.\newlineFor 22: The highest power is 232^3 (from 7272).\newlineFor 33: The highest power is 323^2 (from both 1818 and 7272).
  3. Multiply Highest Powers: Multiply these highest powers to find the LCM.\newlineLCM = 23×322^3 \times 3^2\newlineLCM = 8×98 \times 9\newlineLCM = 7272

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