Least Common Multiple (LCM) of 153 and 151
The least common multiple (LCM) of 153 and 151 is 23103.
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 151?
First, calculate the GCD of 153 and 151 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 153 ÷ 151 = 1 remainder 2 |
| 2 | 151 ÷ 2 = 75 remainder 1 |
| 3 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 105 and 31 | 3255 |
| 149 and 100 | 14900 |
| 151 and 90 | 13590 |
| 22 and 34 | 374 |
| 67 and 143 | 9581 |