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 |
|---|---|
| 138 and 65 | 8970 |
| 94 and 119 | 11186 |
| 30 and 118 | 1770 |
| 108 and 31 | 3348 |
| 194 and 76 | 7372 |