Least Common Multiple (LCM) of 188 and 157
The least common multiple (LCM) of 188 and 157 is 29516.
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 188 and 157?
First, calculate the GCD of 188 and 157 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 188 ÷ 157 = 1 remainder 31 |
| 2 | 157 ÷ 31 = 5 remainder 2 |
| 3 | 31 ÷ 2 = 15 remainder 1 |
| 4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 73 and 40 | 2920 |
| 87 and 188 | 16356 |
| 104 and 102 | 5304 |
| 29 and 46 | 1334 |
| 156 and 110 | 8580 |