Least Common Multiple (LCM) of 88 and 156
The least common multiple (LCM) of 88 and 156 is 3432.
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 88 and 156?
First, calculate the GCD of 88 and 156 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 88 ÷ 156 = 0 remainder 88 |
| 2 | 156 ÷ 88 = 1 remainder 68 |
| 3 | 88 ÷ 68 = 1 remainder 20 |
| 4 | 68 ÷ 20 = 3 remainder 8 |
| 5 | 20 ÷ 8 = 2 remainder 4 |
| 6 | 8 ÷ 4 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 70 and 59 | 4130 |
| 90 and 102 | 1530 |
| 157 and 15 | 2355 |
| 39 and 65 | 195 |
| 20 and 74 | 740 |