Least Common Multiple (LCM) of 142 and 151
The least common multiple (LCM) of 142 and 151 is 21442.
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 142 and 151?
First, calculate the GCD of 142 and 151 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 142 ÷ 151 = 0 remainder 142 |
| 2 | 151 ÷ 142 = 1 remainder 9 |
| 3 | 142 ÷ 9 = 15 remainder 7 |
| 4 | 9 ÷ 7 = 1 remainder 2 |
| 5 | 7 ÷ 2 = 3 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 114 and 33 | 1254 |
| 163 and 88 | 14344 |
| 37 and 109 | 4033 |
| 146 and 98 | 7154 |
| 152 and 97 | 14744 |