Least Common Multiple (LCM) of 156 and 67
The least common multiple (LCM) of 156 and 67 is 10452.
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 156 and 67?
First, calculate the GCD of 156 and 67 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 156 ÷ 67 = 2 remainder 22 |
| 2 | 67 ÷ 22 = 3 remainder 1 |
| 3 | 22 ÷ 1 = 22 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 102 and 37 | 3774 |
| 165 and 24 | 1320 |
| 110 and 108 | 5940 |
| 101 and 41 | 4141 |
| 13 and 166 | 2158 |