Least Common Multiple (LCM) of 153 and 21
The least common multiple (LCM) of 153 and 21 is 1071.
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 21?
First, calculate the GCD of 153 and 21 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 153 ÷ 21 = 7 remainder 6 |
| 2 | 21 ÷ 6 = 3 remainder 3 |
| 3 | 6 ÷ 3 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 110 and 155 | 3410 |
| 148 and 100 | 3700 |
| 77 and 181 | 13937 |
| 162 and 141 | 7614 |
| 41 and 105 | 4305 |