Least Common Multiple (LCM) of 151 and 95
The least common multiple (LCM) of 151 and 95 is 14345.
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 95?
First, calculate the GCD of 151 and 95 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 151 ÷ 95 = 1 remainder 56 |
| 2 | 95 ÷ 56 = 1 remainder 39 |
| 3 | 56 ÷ 39 = 1 remainder 17 |
| 4 | 39 ÷ 17 = 2 remainder 5 |
| 5 | 17 ÷ 5 = 3 remainder 2 |
| 6 | 5 ÷ 2 = 2 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 63 and 64 | 4032 |
| 116 and 195 | 22620 |
| 114 and 162 | 3078 |
| 194 and 70 | 6790 |
| 71 and 147 | 10437 |