Least Common Multiple (LCM) of 101 and 152
The least common multiple (LCM) of 101 and 152 is 15352.
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 101 and 152?
First, calculate the GCD of 101 and 152 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 101 ÷ 152 = 0 remainder 101 |
| 2 | 152 ÷ 101 = 1 remainder 51 |
| 3 | 101 ÷ 51 = 1 remainder 50 |
| 4 | 51 ÷ 50 = 1 remainder 1 |
| 5 | 50 ÷ 1 = 50 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 173 and 11 | 1903 |
| 200 and 45 | 1800 |
| 198 and 91 | 18018 |
| 57 and 70 | 3990 |
| 58 and 50 | 1450 |