Least Common Multiple (LCM) of 153 and 136
The least common multiple (LCM) of 153 and 136 is 1224.
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 153 and 136?
First, calculate the GCD of 153 and 136 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 153 ÷ 136 = 1 remainder 17 |
| 2 | 136 ÷ 17 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 109 and 40 | 4360 |
| 108 and 156 | 1404 |
| 113 and 101 | 11413 |
| 100 and 137 | 13700 |
| 163 and 47 | 7661 |