Least Common Multiple (LCM) of 121 and 152
The least common multiple (LCM) of 121 and 152 is 18392.
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 152?
First, calculate the GCD of 121 and 152 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 121 ÷ 152 = 0 remainder 121 |
| 2 | 152 ÷ 121 = 1 remainder 31 |
| 3 | 121 ÷ 31 = 3 remainder 28 |
| 4 | 31 ÷ 28 = 1 remainder 3 |
| 5 | 28 ÷ 3 = 9 remainder 1 |
| 6 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 192 and 56 | 1344 |
| 164 and 196 | 8036 |
| 155 and 54 | 8370 |
| 117 and 140 | 16380 |
| 133 and 43 | 5719 |