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To find the least common multiple (LCM) of 24 and 42, we can start by listing the prime factors of each number: The prime factors of 24 are 2, 2, 2, and 3 (we can write this as 2^3 x 3). The prime factors of 42 are 2, 3, and 7 (we can write this as 2^1 x 3^1 x 7^1). To find the LCM, we need to incluRead more
To find the least common multiple (LCM) of 24 and 42, we can start by listing the prime factors of each number:
The prime factors of 24 are 2, 2, 2, and 3 (we can write this as 2^3 x 3). The prime factors of 42 are 2, 3, and 7 (we can write this as 2^1 x 3^1 x 7^1).
To find the LCM, we need to include all of the prime factors, raised to their highest power, that appear in either factorization. So the LCM of 24 and 42 is:
LCM(24, 42) = 2^3 x 3^1 x 7^1 = 168
Therefore, the LCM of 24 and 42 is 168.
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