Least Common Multiple (LCM) of 37 and 136
The least common multiple (LCM) of 37 and 136 is 5032.
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 37 and 136?
First, calculate the GCD of 37 and 136 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 37 ÷ 136 = 0 remainder 37 |
| 2 | 136 ÷ 37 = 3 remainder 25 |
| 3 | 37 ÷ 25 = 1 remainder 12 |
| 4 | 25 ÷ 12 = 2 remainder 1 |
| 5 | 12 ÷ 1 = 12 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 118 and 150 | 8850 |
| 147 and 182 | 3822 |
| 79 and 81 | 6399 |
| 99 and 93 | 3069 |
| 166 and 101 | 16766 |