Least Common Multiple (LCM) of 151 and 196
The least common multiple (LCM) of 151 and 196 is 29596.
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 196?
First, calculate the GCD of 151 and 196 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 151 ÷ 196 = 0 remainder 151 |
| 2 | 196 ÷ 151 = 1 remainder 45 |
| 3 | 151 ÷ 45 = 3 remainder 16 |
| 4 | 45 ÷ 16 = 2 remainder 13 |
| 5 | 16 ÷ 13 = 1 remainder 3 |
| 6 | 13 ÷ 3 = 4 remainder 1 |
| 7 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 106 and 153 | 16218 |
| 186 and 86 | 7998 |
| 182 and 185 | 33670 |
| 75 and 29 | 2175 |
| 16 and 33 | 528 |