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 |
|---|---|
| 106 and 101 | 10706 |
| 70 and 137 | 9590 |
| 164 and 177 | 29028 |
| 50 and 96 | 2400 |
| 179 and 47 | 8413 |