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 |
|---|---|
| 160 and 199 | 31840 |
| 123 and 131 | 16113 |
| 138 and 24 | 552 |
| 131 and 156 | 20436 |
| 16 and 114 | 912 |