Least Common Multiple (LCM) of 35 and 152
The least common multiple (LCM) of 35 and 152 is 5320.
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 35 and 152?
First, calculate the GCD of 35 and 152 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 35 ÷ 152 = 0 remainder 35 |
| 2 | 152 ÷ 35 = 4 remainder 12 |
| 3 | 35 ÷ 12 = 2 remainder 11 |
| 4 | 12 ÷ 11 = 1 remainder 1 |
| 5 | 11 ÷ 1 = 11 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 87 and 52 | 4524 |
| 152 and 172 | 6536 |
| 11 and 101 | 1111 |
| 192 and 93 | 5952 |
| 10 and 10 | 10 |