Least Common Multiple (LCM) of 83 and 151
The least common multiple (LCM) of 83 and 151 is 12533.
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 83 and 151?
First, calculate the GCD of 83 and 151 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 83 ÷ 151 = 0 remainder 83 |
| 2 | 151 ÷ 83 = 1 remainder 68 |
| 3 | 83 ÷ 68 = 1 remainder 15 |
| 4 | 68 ÷ 15 = 4 remainder 8 |
| 5 | 15 ÷ 8 = 1 remainder 7 |
| 6 | 8 ÷ 7 = 1 remainder 1 |
| 7 | 7 ÷ 1 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 85 and 96 | 8160 |
| 166 and 113 | 18758 |
| 200 and 153 | 30600 |
| 123 and 13 | 1599 |
| 138 and 155 | 21390 |