Least Common Multiple (LCM) of 157 and 22
The least common multiple (LCM) of 157 and 22 is 3454.
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 157 and 22?
First, calculate the GCD of 157 and 22 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 157 ÷ 22 = 7 remainder 3 |
| 2 | 22 ÷ 3 = 7 remainder 1 |
| 3 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 175 and 110 | 3850 |
| 106 and 71 | 7526 |
| 116 and 120 | 3480 |
| 93 and 173 | 16089 |
| 107 and 189 | 20223 |