find the lcm and hcf of the following pair of integers and verify that lcm x hcf product of the two number 26and91
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Answer:
hcf = 13
lcm = 182
hcf × lcm = 2366 = 26 × 91
Step-by-step explanation:
The prime factorizations are:
26 = 2 × 13
91 = 7 × 13
From here we see:
hcf(26, 91) = 13
lcm(26, 91) = 2 × 7 × 13 = 182
Finally, the required verification is:
lcm × hcf = 182 × 13 = (2 × 7 × 13) × 13 = (2 × 13) × (7 × 13) = 26 × 91
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