Least Common Multiple (LCM) of 151 and 157
The least common multiple (LCM) of 151 and 157 is 23707.
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 151 and 157?
First, calculate the GCD of 151 and 157 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 151 ÷ 157 = 0 remainder 151 |
| 2 | 157 ÷ 151 = 1 remainder 6 |
| 3 | 151 ÷ 6 = 25 remainder 1 |
| 4 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 175 and 161 | 4025 |
| 48 and 82 | 1968 |
| 121 and 145 | 17545 |
| 105 and 154 | 2310 |
| 132 and 168 | 1848 |