Least Common Multiple (LCM) of 153 and 148
The least common multiple (LCM) of 153 and 148 is 22644.
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 148?
First, calculate the GCD of 153 and 148 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 153 ÷ 148 = 1 remainder 5 |
| 2 | 148 ÷ 5 = 29 remainder 3 |
| 3 | 5 ÷ 3 = 1 remainder 2 |
| 4 | 3 ÷ 2 = 1 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 42 and 107 | 4494 |
| 174 and 21 | 1218 |
| 184 and 68 | 3128 |
| 138 and 30 | 690 |
| 33 and 130 | 4290 |