Least Common Multiple (LCM) of 167 and 77
The least common multiple (LCM) of 167 and 77 is 12859.
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 167 and 77?
First, calculate the GCD of 167 and 77 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 167 ÷ 77 = 2 remainder 13 |
| 2 | 77 ÷ 13 = 5 remainder 12 |
| 3 | 13 ÷ 12 = 1 remainder 1 |
| 4 | 12 ÷ 1 = 12 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 194 and 33 | 6402 |
| 157 and 98 | 15386 |
| 128 and 46 | 2944 |
| 82 and 124 | 5084 |
| 165 and 139 | 22935 |