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Whats the Lowest Common Multiple (LCM) of 120 and 180​

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Answer:

360

Explanation:

  • To find the Lowest Common Multiple (LCM) of 120 and 180, you can use the prime factorization method.
  • Find the prime factorization of each number:

120 = 2³ × 3¹ × 5¹

180 = 2² × 3²× 5¹

  • Identify the highest power of each prime factor that appears in either number. The LCM will be the product of these highest powers.

The highest power of 2 in either number is 2³

The highest power of 3 in either number is 3²

The highest power of 5 in either number is 5¹

  • Multiply these highest powers together to find the LCM:

LCM = 2³ × 3² × 5¹ = 8 × 9 × 5 = 360

So, the LCM of 120 and 180 is 360.

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