Least Common Multiple (LCM) of 136 and 21
The least common multiple (LCM) of 136 and 21 is 2856.
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 136 and 21?
First, calculate the GCD of 136 and 21 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 136 ÷ 21 = 6 remainder 10 |
| 2 | 21 ÷ 10 = 2 remainder 1 |
| 3 | 10 ÷ 1 = 10 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 30 and 112 | 1680 |
| 88 and 53 | 4664 |
| 110 and 167 | 18370 |
| 186 and 144 | 4464 |
| 196 and 117 | 22932 |