Least Common Multiple (LCM) of 121 and 74
The least common multiple (LCM) of 121 and 74 is 8954.
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 74?
First, calculate the GCD of 121 and 74 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 121 ÷ 74 = 1 remainder 47 |
| 2 | 74 ÷ 47 = 1 remainder 27 |
| 3 | 47 ÷ 27 = 1 remainder 20 |
| 4 | 27 ÷ 20 = 1 remainder 7 |
| 5 | 20 ÷ 7 = 2 remainder 6 |
| 6 | 7 ÷ 6 = 1 remainder 1 |
| 7 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 159 and 30 | 1590 |
| 17 and 19 | 323 |
| 120 and 153 | 6120 |
| 98 and 90 | 4410 |
| 87 and 10 | 870 |