Find the last two digits of LCM of 724 -

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Target Exam

CUET

Subject

General Test

Chapter

Numerical Ability

Question:

Find the last two digits of LCM of 7²⁴ - 1, 7²⁴ + 1?

Options:

Correct Answer:

Explanation:

If numbers are co-prime to each other, then the LCM is equal to product of the numbers.

LCM = (7²⁴ - 1) × (7²⁴ + 1) = 7⁴⁸ - 1

∴ (a + b) × (a - b) = a² - b²

Unit digit of 7⁴⁸ = 7⁴ = 1

Then 1 - 1 = 0, so option 1 00 satisfy