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What is the least common multiple (LCM) of 6 and 8?
A. 24
B. 48
C. 16
D. 2
the answer is a 24 Method The LCM of 6 and 8 is 24, which is the multiple of the highest power of all prime factors from both numbers 6 = 2 x 3 8 = 2 x 2 x 2 x 3 = 23 x 3 Highest multiple of 2 = 23 = 8 Highest multiple of 3 = 3
(23 x 3 = 8 x 3 = 24).
Small Numbers Method (trial and error) Start listing the multiples 6 multiples- 6, 12, 18, 24 8 multiples- 8, 16, 24 The LCM of 8 and 6 is 24.
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