Least Common Multiple (LCM) of 153 and 71
The least common multiple (LCM) of 153 and 71 is 10863.
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 153 and 71?
First, calculate the GCD of 153 and 71 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 153 ÷ 71 = 2 remainder 11 |
| 2 | 71 ÷ 11 = 6 remainder 5 |
| 3 | 11 ÷ 5 = 2 remainder 1 |
| 4 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 96 and 189 | 6048 |
| 189 and 115 | 21735 |
| 159 and 37 | 5883 |
| 151 and 109 | 16459 |
| 148 and 186 | 13764 |