Least Common Multiple (LCM) of 141 and 151
The least common multiple (LCM) of 141 and 151 is 21291.
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 141 and 151?
First, calculate the GCD of 141 and 151 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 141 ÷ 151 = 0 remainder 141 |
| 2 | 151 ÷ 141 = 1 remainder 10 |
| 3 | 141 ÷ 10 = 14 remainder 1 |
| 4 | 10 ÷ 1 = 10 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 34 and 105 | 3570 |
| 193 and 104 | 20072 |
| 46 and 73 | 3358 |
| 150 and 158 | 11850 |
| 32 and 167 | 5344 |