Least Common Multiple (LCM) of 68 and 187
The least common multiple (LCM) of 68 and 187 is 748.
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 68 and 187?
First, calculate the GCD of 68 and 187 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 68 ÷ 187 = 0 remainder 68 |
| 2 | 187 ÷ 68 = 2 remainder 51 |
| 3 | 68 ÷ 51 = 1 remainder 17 |
| 4 | 51 ÷ 17 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 76 and 88 | 1672 |
| 27 and 128 | 3456 |
| 132 and 125 | 16500 |
| 37 and 188 | 6956 |
| 119 and 111 | 13209 |