
Least Common Multiple (LCM) of 136 and 86
The least common multiple (LCM) of 136 and 86 is 5848.
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 86?
First, calculate the GCD of 136 and 86 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
Step | Calculation |
---|---|
1 | 136 ÷ 86 = 1 remainder 50 |
2 | 86 ÷ 50 = 1 remainder 36 |
3 | 50 ÷ 36 = 1 remainder 14 |
4 | 36 ÷ 14 = 2 remainder 8 |
5 | 14 ÷ 8 = 1 remainder 6 |
6 | 8 ÷ 6 = 1 remainder 2 |
7 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
Numbers | LCM |
---|---|
116 and 162 | 9396 |
119 and 187 | 1309 |
104 and 103 | 10712 |
108 and 160 | 4320 |
182 and 63 | 1638 |