Least Common Multiple (LCM) of 52 and 152
The least common multiple (LCM) of 52 and 152 is 1976.
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 52 and 152?
First, calculate the GCD of 52 and 152 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 52 ÷ 152 = 0 remainder 52 |
| 2 | 152 ÷ 52 = 2 remainder 48 |
| 3 | 52 ÷ 48 = 1 remainder 4 |
| 4 | 48 ÷ 4 = 12 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 87 and 103 | 8961 |
| 166 and 112 | 9296 |
| 53 and 165 | 8745 |
| 181 and 96 | 17376 |
| 171 and 83 | 14193 |