Least Common Multiple (LCM) of 134 and 62
The least common multiple (LCM) of 134 and 62 is 4154.
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 62?
First, calculate the GCD of 134 and 62 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 134 ÷ 62 = 2 remainder 10 |
| 2 | 62 ÷ 10 = 6 remainder 2 |
| 3 | 10 ÷ 2 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 109 and 77 | 8393 |
| 50 and 145 | 1450 |
| 180 and 99 | 1980 |
| 200 and 163 | 32600 |
| 72 and 93 | 2232 |