Least Common Multiple (LCM) of 151 and 61
The least common multiple (LCM) of 151 and 61 is 9211.
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 61?
First, calculate the GCD of 151 and 61 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 151 ÷ 61 = 2 remainder 29 |
| 2 | 61 ÷ 29 = 2 remainder 3 |
| 3 | 29 ÷ 3 = 9 remainder 2 |
| 4 | 3 ÷ 2 = 1 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 52 and 19 | 988 |
| 144 and 86 | 6192 |
| 112 and 147 | 2352 |
| 29 and 146 | 4234 |
| 193 and 90 | 17370 |