verify the relation between HCF and LCM of 75 and 135.
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the LCMof 135 and 75 is 675 .
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prime factorize 75 and 135.
75=3×5×5
135=3×3×3×5
HCF of 75 and 135 =3×5=15
LCM of 75 and 135 =3³ × 5² =27×25=675
HCF × LCM =15×675=10,125
product of 75 × 135 =10,125
thus, HCF×LCM= product of the two numbers
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