Least Common Multiple (LCM) of 137 and 151
The least common multiple (LCM) of 137 and 151 is 20687.
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 137 and 151?
First, calculate the GCD of 137 and 151 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 137 ÷ 151 = 0 remainder 137 |
| 2 | 151 ÷ 137 = 1 remainder 14 |
| 3 | 137 ÷ 14 = 9 remainder 11 |
| 4 | 14 ÷ 11 = 1 remainder 3 |
| 5 | 11 ÷ 3 = 3 remainder 2 |
| 6 | 3 ÷ 2 = 1 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 45 and 78 | 1170 |
| 164 and 135 | 22140 |
| 35 and 71 | 2485 |
| 29 and 79 | 2291 |
| 152 and 55 | 8360 |