Least Common Multiple (LCM) of 152 and 69
The least common multiple (LCM) of 152 and 69 is 10488.
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 69?
First, calculate the GCD of 152 and 69 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 152 ÷ 69 = 2 remainder 14 |
| 2 | 69 ÷ 14 = 4 remainder 13 |
| 3 | 14 ÷ 13 = 1 remainder 1 |
| 4 | 13 ÷ 1 = 13 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 30 and 67 | 2010 |
| 100 and 117 | 11700 |
| 134 and 63 | 8442 |
| 170 and 77 | 13090 |
| 88 and 23 | 2024 |