find the lcm and hcf of 15 and 45.Verify that lcm into hcf = product of the numbers solution
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Step-by-step explanation:
Prime factorization of 15 and 45 is (3 × 5)
= 31 × 51 and (3 × 3 × 5)
= 32 × 51 respectively.
LCM of 15 and 45 can be obtained by multiplying prime factors raised to their respective highest power, i.e. 32 × 51 = 45.
Hence,
the LCM of 15 and 45 by prime factorization is 45.
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