find the hcf amd lcm of 18 and 24 using prime factorization. verify that hcf× lcm= a×b
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Answer:
LCM(18,24) = 72
Step-by-step explanation:
18 = 21 × 32
Prime Factorization of 24
Prime factors of 24 are 2, 3. Prime factorization of 24 in exponential form is:
24 = 23 × 31
Now multiplying the highest exponent prime factors to calculate the LCM of 18 and 24.
LCM(18,24) = 23 × 32
LCM(18,24) = 72
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