Least Common Multiple (LCM) of 61 and 151
The least common multiple (LCM) of 61 and 151 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 61 and 151?
First, calculate the GCD of 61 and 151 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 61 ÷ 151 = 0 remainder 61 |
| 2 | 151 ÷ 61 = 2 remainder 29 |
| 3 | 61 ÷ 29 = 2 remainder 3 |
| 4 | 29 ÷ 3 = 9 remainder 2 |
| 5 | 3 ÷ 2 = 1 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 11 and 152 | 1672 |
| 122 and 26 | 1586 |
| 44 and 184 | 2024 |
| 49 and 22 | 1078 |
| 47 and 127 | 5969 |