Least Common Multiple (LCM) of 172 and 169
The least common multiple (LCM) of 172 and 169 is 29068.
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 172 and 169?
First, calculate the GCD of 172 and 169 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 172 ÷ 169 = 1 remainder 3 |
| 2 | 169 ÷ 3 = 56 remainder 1 |
| 3 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 152 and 34 | 2584 |
| 54 and 106 | 2862 |
| 148 and 138 | 10212 |
| 63 and 121 | 7623 |
| 43 and 42 | 1806 |