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The product of two co-prime numbers is 1073. Find their L.C.M.
Question

The product of two co-prime numbers is 1073. Find their L.C.M.

A.

1

B.

1073

C.

29

D.

37

Correct option is B

Given:

The product of two co-prime numbers is 1073.

Concept Used:

The L.C.M (Least Common Multiple) of two co-prime numbers is equal to their product.

Solution:

If two numbers aa and bb are co-prime, then:

L.C.M (a, b) = a×ba \times b​​

Since the numbers are co-prime, the L.C.M of the two numbers will be equal to their product:

L.C.M = 1073

The L.C.M of the two co-prime numbers is 1073.

Thus, the correct option is (b) 1073

Alternate Method:

Given: A ×\times B = 1073

Since, HCF(A, B) = 1 (Co- Prime)

Then, LCM ×\times HCF = A ×\times B

=> LCM = 1073

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