Least Common Multiple (LCM) of 152 and 100
The least common multiple (LCM) of 152 and 100 is 3800.
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 152 and 100?
First, calculate the GCD of 152 and 100 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 152 ÷ 100 = 1 remainder 52 |
| 2 | 100 ÷ 52 = 1 remainder 48 |
| 3 | 52 ÷ 48 = 1 remainder 4 |
| 4 | 48 ÷ 4 = 12 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 136 and 129 | 17544 |
| 152 and 181 | 27512 |
| 63 and 128 | 8064 |
| 146 and 163 | 23798 |
| 17 and 49 | 833 |