If a is an odd number and b is not divisible by 3 and the lcm of (a,b) is p then what is the lcm of (3a,2b)
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a== odd number
b== not divisible by '3'
lcm(a,b) = p
lcm(3a,2b) = 3*2*p = 6*p = 6p
[concept: 'b' is not divisible by '3'.Hence any factor of '3' added to other number(a) will have it in lcm && 'a' is odd, hence any even factor(number) added to the other number will have its effect on lcm. Hence 3*2*p is the new lcm)
Hope it helps.
b== not divisible by '3'
lcm(a,b) = p
lcm(3a,2b) = 3*2*p = 6*p = 6p
[concept: 'b' is not divisible by '3'.Hence any factor of '3' added to other number(a) will have it in lcm && 'a' is odd, hence any even factor(number) added to the other number will have its effect on lcm. Hence 3*2*p is the new lcm)
Hope it helps.
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