What is the LCM of 5 and 9?

2 Answers
Daniel L.
Jun 27, 2017

It is #45#. See explanation.

Explanation:

The lowest common multiple (LCM) of numbers #a# and #b# can be calculated as:

#lcm(a,b)=(axxb)/gcd(a,b)#

where #gcd# is the greatedt common divisor

In the given example the greatest common divisor (gcd) is #1#, so the lowest common multiple is #lcm(5,9)=5xx9=45#

sjc · Meave60
Jun 27, 2017

#"LCM(5,9)=45"#

Explanation:

Multiples of #5:{5,10,15,20,25,30,35,40,color(red)45,50,55,60,...}#

Multpiles of #9:{9,18,27,36,color(red)45,54,63,72,....}#

From the lists we see that 45 is the [least common multiple].(https://socratic.org/prealgebra/factors-and-multiples/least-common-multiple)

#"LCM(5,9)=45"#

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