
Least Common Multiple (LCM) of 25 and 169
The least common multiple (LCM) of 25 and 169 is 4225.
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 25 and 169?
First, calculate the GCD of 25 and 169 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
Step | Calculation |
---|---|
1 | 25 ÷ 169 = 0 remainder 25 |
2 | 169 ÷ 25 = 6 remainder 19 |
3 | 25 ÷ 19 = 1 remainder 6 |
4 | 19 ÷ 6 = 3 remainder 1 |
5 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
Numbers | LCM |
---|---|
77 and 60 | 4620 |
135 and 17 | 2295 |
148 and 137 | 20276 |
197 and 54 | 10638 |
41 and 113 | 4633 |