Least Common Multiple (LCM) of 169 and 76
The least common multiple (LCM) of 169 and 76 is 12844.
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 169 and 76?
First, calculate the GCD of 169 and 76 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 169 ÷ 76 = 2 remainder 17 |
| 2 | 76 ÷ 17 = 4 remainder 8 |
| 3 | 17 ÷ 8 = 2 remainder 1 |
| 4 | 8 ÷ 1 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 139 and 152 | 21128 |
| 126 and 58 | 3654 |
| 133 and 97 | 12901 |
| 102 and 137 | 13974 |
| 155 and 82 | 12710 |