Least Common Multiple (LCM) of 151 and 168
The least common multiple (LCM) of 151 and 168 is 25368.
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 151 and 168?
First, calculate the GCD of 151 and 168 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 151 ÷ 168 = 0 remainder 151 |
| 2 | 168 ÷ 151 = 1 remainder 17 |
| 3 | 151 ÷ 17 = 8 remainder 15 |
| 4 | 17 ÷ 15 = 1 remainder 2 |
| 5 | 15 ÷ 2 = 7 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 188 and 72 | 3384 |
| 106 and 67 | 7102 |
| 126 and 152 | 9576 |
| 85 and 170 | 170 |
| 114 and 70 | 3990 |