Find the Lowest Common Multiple of
x=2⁴×7×11×13
y=2³×3×7³×13
Give your answer in index form.

The lowest common multiple (LCM) of x and y is 2⁴ × 3 × 7³ × 11 × 13.
The least common multiple (LCM) of two or more numbers is the smallest number which is a multiple of all of the numbers and this is found by expressing the numbers as products of its prime factors and multiplying each factors with the highest index.
for x = 2⁴ × 7 × 11 × 13
y = 2³ × 3 × 7³ × 13
2⁴, 7³ and 13 are common with their highest index
thus;
LCM = 2⁴ × 3 × 7³ × 11 × 13.
Therefore, the lowest common multiple of x = 2⁴ × 7 × 11 × 13 and y = 2³ × 3 × 7³ × 13 is 2⁴ × 3 × 7³ × 11 × 13 in index form.
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