Least Common Multiple (LCM) of 151 and 60
The least common multiple (LCM) of 151 and 60 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 151 and 60?
First, calculate the GCD of 151 and 60 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 151 ÷ 60 = 2 remainder 31 |
| 2 | 60 ÷ 31 = 1 remainder 29 |
| 3 | 31 ÷ 29 = 1 remainder 2 |
| 4 | 29 ÷ 2 = 14 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 149 and 66 | 9834 |
| 58 and 25 | 1450 |
| 108 and 152 | 4104 |
| 183 and 182 | 33306 |
| 195 and 148 | 28860 |