Least Common Multiple (LCM) of 136 and 70
The least common multiple (LCM) of 136 and 70 is 4760.
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 70?
First, calculate the GCD of 136 and 70 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 136 ÷ 70 = 1 remainder 66 |
| 2 | 70 ÷ 66 = 1 remainder 4 |
| 3 | 66 ÷ 4 = 16 remainder 2 |
| 4 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 152 and 60 | 2280 |
| 119 and 59 | 7021 |
| 23 and 10 | 230 |
| 99 and 193 | 19107 |
| 133 and 138 | 18354 |