Least Common Multiple (LCM) of 154 and 153
The least common multiple (LCM) of 154 and 153 is 23562.
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 154 and 153?
First, calculate the GCD of 154 and 153 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 154 ÷ 153 = 1 remainder 1 |
| 2 | 153 ÷ 1 = 153 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 53 and 184 | 9752 |
| 56 and 178 | 4984 |
| 114 and 118 | 6726 |
| 158 and 102 | 8058 |
| 130 and 181 | 23530 |