Least Common Multiple (LCM) of 152 and 153
The least common multiple (LCM) of 152 and 153 is 23256.
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 153?
First, calculate the GCD of 152 and 153 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 152 ÷ 153 = 0 remainder 152 |
| 2 | 153 ÷ 152 = 1 remainder 1 |
| 3 | 152 ÷ 1 = 152 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 119 and 89 | 10591 |
| 12 and 142 | 852 |
| 197 and 99 | 19503 |
| 117 and 137 | 16029 |
| 20 and 19 | 380 |