Least Common Multiple (LCM) of 156 and 151
The least common multiple (LCM) of 156 and 151 is 23556.
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 151?
First, calculate the GCD of 156 and 151 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 156 ÷ 151 = 1 remainder 5 |
| 2 | 151 ÷ 5 = 30 remainder 1 |
| 3 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 172 and 137 | 23564 |
| 167 and 29 | 4843 |
| 184 and 37 | 6808 |
| 146 and 196 | 14308 |
| 43 and 74 | 3182 |