Least Common Multiple (LCM) of 121 and 153
The least common multiple (LCM) of 121 and 153 is 18513.
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 153?
First, calculate the GCD of 121 and 153 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 121 ÷ 153 = 0 remainder 121 |
| 2 | 153 ÷ 121 = 1 remainder 32 |
| 3 | 121 ÷ 32 = 3 remainder 25 |
| 4 | 32 ÷ 25 = 1 remainder 7 |
| 5 | 25 ÷ 7 = 3 remainder 4 |
| 6 | 7 ÷ 4 = 1 remainder 3 |
| 7 | 4 ÷ 3 = 1 remainder 1 |
| 8 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 138 and 196 | 13524 |
| 14 and 91 | 182 |
| 59 and 159 | 9381 |
| 148 and 99 | 14652 |
| 105 and 52 | 5460 |