Least Common Multiple (LCM) of 167 and 74
The least common multiple (LCM) of 167 and 74 is 12358.
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 74?
First, calculate the GCD of 167 and 74 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 167 ÷ 74 = 2 remainder 19 |
| 2 | 74 ÷ 19 = 3 remainder 17 |
| 3 | 19 ÷ 17 = 1 remainder 2 |
| 4 | 17 ÷ 2 = 8 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 94 and 120 | 5640 |
| 103 and 179 | 18437 |
| 73 and 174 | 12702 |
| 137 and 140 | 19180 |
| 199 and 98 | 19502 |