Least Common Multiple (LCM) of 60 and 151
The least common multiple (LCM) of 60 and 151 is 9060.
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 60 and 151?
First, calculate the GCD of 60 and 151 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 60 ÷ 151 = 0 remainder 60 |
| 2 | 151 ÷ 60 = 2 remainder 31 |
| 3 | 60 ÷ 31 = 1 remainder 29 |
| 4 | 31 ÷ 29 = 1 remainder 2 |
| 5 | 29 ÷ 2 = 14 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 49 and 146 | 7154 |
| 52 and 162 | 4212 |
| 17 and 71 | 1207 |
| 190 and 74 | 7030 |
| 177 and 27 | 1593 |