Least Common Multiple (LCM) of 70 and 132
The least common multiple (LCM) of 70 and 132 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 70 and 132?
First, calculate the GCD of 70 and 132 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 70 ÷ 132 = 0 remainder 70 |
| 2 | 132 ÷ 70 = 1 remainder 62 |
| 3 | 70 ÷ 62 = 1 remainder 8 |
| 4 | 62 ÷ 8 = 7 remainder 6 |
| 5 | 8 ÷ 6 = 1 remainder 2 |
| 6 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 157 and 116 | 18212 |
| 186 and 189 | 11718 |
| 101 and 52 | 5252 |
| 110 and 54 | 2970 |
| 122 and 82 | 5002 |