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always sometimes or never true is the Lcm of two numbers is the product of two numbers


Sagot :

we know that

The Least Common Multiple (LCM) of two numbers is the product of the two numbers only when they are relatively prime.if two numbers share a common factor, then the LCM of two numbers is not the product of the two numbers.

Examples

1) [tex] 5,21 [/tex]

[tex] LCM=5*21\\ LCM=105 [/tex]

in this case the LCM of two numbers is the product of the two numbers

2) [tex] 8,10 [/tex]

[tex] 8=2^{3} \\ 10=2*5 [/tex]

[tex] LCM=2^{3}*5\\ LCM=40 [/tex]

in this case the LCM of two numbers is not the product of the two numbers

therefore

the answer is

Sometimes