Least Common Multiple (LCM) of 100 and 152
The least common multiple (LCM) of 100 and 152 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 100 and 152?
First, calculate the GCD of 100 and 152 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 100 ÷ 152 = 0 remainder 100 |
| 2 | 152 ÷ 100 = 1 remainder 52 |
| 3 | 100 ÷ 52 = 1 remainder 48 |
| 4 | 52 ÷ 48 = 1 remainder 4 |
| 5 | 48 ÷ 4 = 12 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 134 and 176 | 11792 |
| 85 and 137 | 11645 |
| 196 and 154 | 2156 |
| 90 and 99 | 990 |
| 165 and 169 | 27885 |