Least Common Multiple (LCM) of 151 and 153
The least common multiple (LCM) of 151 and 153 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 151 and 153?
First, calculate the GCD of 151 and 153 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 151 ÷ 153 = 0 remainder 151 |
| 2 | 153 ÷ 151 = 1 remainder 2 |
| 3 | 151 ÷ 2 = 75 remainder 1 |
| 4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 100 and 48 | 1200 |
| 94 and 116 | 5452 |
| 192 and 95 | 18240 |
| 162 and 89 | 14418 |
| 147 and 104 | 15288 |