Least Common Multiple (LCM) of 121 and 88
The least common multiple (LCM) of 121 and 88 is 968.
What is the Least Common Multiple (LCM)?
The LCM of two integers is the smallest positive integer that is divisible by both numbers. It is often used to find common denominators and solve problems involving periodic events.
Formula for LCM
The LCM of two numbers can be calculated using their GCD:
LCM(a, b) = |a × b| ÷ GCD(a, b)
How to Calculate the LCM of 121 and 88?
First, calculate the GCD of 121 and 88 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 121 ÷ 88 = 1 remainder 33 |
| 2 | 88 ÷ 33 = 2 remainder 22 |
| 3 | 33 ÷ 22 = 1 remainder 11 |
| 4 | 22 ÷ 11 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 29 and 114 | 3306 |
| 77 and 149 | 11473 |
| 200 and 44 | 2200 |
| 51 and 123 | 2091 |
| 140 and 20 | 140 |