Least Common Multiple (LCM) of 151 and 22
The least common multiple (LCM) of 151 and 22 is 3322.
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 22?
First, calculate the GCD of 151 and 22 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 151 ÷ 22 = 6 remainder 19 |
| 2 | 22 ÷ 19 = 1 remainder 3 |
| 3 | 19 ÷ 3 = 6 remainder 1 |
| 4 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 37 and 71 | 2627 |
| 140 and 133 | 2660 |
| 62 and 195 | 12090 |
| 51 and 190 | 9690 |
| 80 and 129 | 10320 |