Least Common Multiple (LCM) of 167 and 151
The least common multiple (LCM) of 167 and 151 is 25217.
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 167 and 151?
First, calculate the GCD of 167 and 151 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 167 ÷ 151 = 1 remainder 16 |
| 2 | 151 ÷ 16 = 9 remainder 7 |
| 3 | 16 ÷ 7 = 2 remainder 2 |
| 4 | 7 ÷ 2 = 3 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 32 and 184 | 736 |
| 38 and 149 | 5662 |
| 123 and 94 | 11562 |
| 128 and 100 | 3200 |
| 19 and 52 | 988 |