Least Common Multiple (LCM) of 153 and 152
The least common multiple (LCM) of 153 and 152 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 153 and 152?
First, calculate the GCD of 153 and 152 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 153 ÷ 152 = 1 remainder 1 |
| 2 | 152 ÷ 1 = 152 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 44 and 17 | 748 |
| 155 and 30 | 930 |
| 156 and 174 | 4524 |
| 109 and 27 | 2943 |
| 152 and 102 | 7752 |