Question 75

What will be the Least Common Multiple of $$2^2 \times 3^5 \times 7^3  and   2^4 \times 3^4 \times 7^1$$?

Solution

Least Common Multiple of $$2^2 \times 3^5 \times 7^3  and   2^4 \times 3^4 \times 7^1$$ is the product of prime number with their highest power.
Here, Highest power of 2 = $$2^4$$
Highest power of 3 = $$3^5$$
Highest power of 7 = $$7^3$$
Therefore, LCM of $$2^2 \times 3^5 \times 7^3  and   2^4 \times 3^4 \times 7^1 = 2^4 \times 3^5 \times 7^3$$


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