Least Common Multiple (LCM) of 167 and 139
The least common multiple (LCM) of 167 and 139 is 23213.
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 139?
First, calculate the GCD of 167 and 139 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 167 ÷ 139 = 1 remainder 28 |
| 2 | 139 ÷ 28 = 4 remainder 27 |
| 3 | 28 ÷ 27 = 1 remainder 1 |
| 4 | 27 ÷ 1 = 27 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 76 and 93 | 7068 |
| 136 and 114 | 7752 |
| 33 and 140 | 4620 |
| 196 and 172 | 8428 |
| 120 and 42 | 840 |