Least Common Multiple (LCM) of 127 and 151
The least common multiple (LCM) of 127 and 151 is 19177.
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 127 and 151?
First, calculate the GCD of 127 and 151 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 127 ÷ 151 = 0 remainder 127 |
| 2 | 151 ÷ 127 = 1 remainder 24 |
| 3 | 127 ÷ 24 = 5 remainder 7 |
| 4 | 24 ÷ 7 = 3 remainder 3 |
| 5 | 7 ÷ 3 = 2 remainder 1 |
| 6 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 156 and 157 | 24492 |
| 92 and 155 | 14260 |
| 114 and 31 | 3534 |
| 103 and 143 | 14729 |
| 89 and 158 | 14062 |