Least Common Multiple (LCM) of 56 and 167
The least common multiple (LCM) of 56 and 167 is 9352.
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 56 and 167?
First, calculate the GCD of 56 and 167 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 56 ÷ 167 = 0 remainder 56 |
| 2 | 167 ÷ 56 = 2 remainder 55 |
| 3 | 56 ÷ 55 = 1 remainder 1 |
| 4 | 55 ÷ 1 = 55 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 108 and 57 | 2052 |
| 42 and 53 | 2226 |
| 151 and 107 | 16157 |
| 36 and 86 | 1548 |
| 97 and 122 | 11834 |