Least Common Multiple (LCM) of 151 and 92
The least common multiple (LCM) of 151 and 92 is 13892.
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 92?
First, calculate the GCD of 151 and 92 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 151 ÷ 92 = 1 remainder 59 |
| 2 | 92 ÷ 59 = 1 remainder 33 |
| 3 | 59 ÷ 33 = 1 remainder 26 |
| 4 | 33 ÷ 26 = 1 remainder 7 |
| 5 | 26 ÷ 7 = 3 remainder 5 |
| 6 | 7 ÷ 5 = 1 remainder 2 |
| 7 | 5 ÷ 2 = 2 remainder 1 |
| 8 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 184 and 79 | 14536 |
| 189 and 189 | 189 |
| 85 and 114 | 9690 |
| 153 and 118 | 18054 |
| 144 and 89 | 12816 |