Least Common Multiple (LCM) of 134 and 100
The least common multiple (LCM) of 134 and 100 is 6700.
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 134 and 100?
First, calculate the GCD of 134 and 100 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 134 ÷ 100 = 1 remainder 34 |
| 2 | 100 ÷ 34 = 2 remainder 32 |
| 3 | 34 ÷ 32 = 1 remainder 2 |
| 4 | 32 ÷ 2 = 16 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 192 and 105 | 6720 |
| 101 and 79 | 7979 |
| 148 and 121 | 17908 |
| 162 and 79 | 12798 |
| 118 and 32 | 1888 |