Least Common Multiple (LCM) of 157 and 156
The least common multiple (LCM) of 157 and 156 is 24492.
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 157 and 156?
First, calculate the GCD of 157 and 156 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 157 ÷ 156 = 1 remainder 1 |
| 2 | 156 ÷ 1 = 156 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 141 and 199 | 28059 |
| 153 and 35 | 5355 |
| 125 and 169 | 21125 |
| 167 and 35 | 5845 |
| 98 and 143 | 14014 |