Least Common Multiple (LCM) of 132 and 70
The least common multiple (LCM) of 132 and 70 is 4620.
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 132 and 70?
First, calculate the GCD of 132 and 70 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 132 ÷ 70 = 1 remainder 62 |
| 2 | 70 ÷ 62 = 1 remainder 8 |
| 3 | 62 ÷ 8 = 7 remainder 6 |
| 4 | 8 ÷ 6 = 1 remainder 2 |
| 5 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 49 and 188 | 9212 |
| 187 and 104 | 19448 |
| 139 and 125 | 17375 |
| 134 and 46 | 3082 |
| 126 and 14 | 126 |