Answer: The least common multiple is 65700
Step-by-step explanation:
To begin, find the prime factors of the given numbers, (and you find they have very little in common.)
9=3×3 25=5×5 36=2×2×3×3 73= 73×1 (73 is a prime number)
Only the 3's of 36 overlap with the 3's of 9
To find the LCM you must multiply all the prime factors that don't overlap:
3×3×5×5×2×2×73
If the 73 is changed to 72, the LCM is a somewhat lower number: 1800.
To test these LCM's try dividing by any of the factors or numbers given.
If the quotient is not a whole number, the LCM doesn't include that factor.