Least Common Multiple (LCM) of 157 and 153
The least common multiple (LCM) of 157 and 153 is 24021.
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 157 and 153?
First, calculate the GCD of 157 and 153 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 157 ÷ 153 = 1 remainder 4 |
| 2 | 153 ÷ 4 = 38 remainder 1 |
| 3 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 141 and 105 | 4935 |
| 115 and 125 | 2875 |
| 73 and 60 | 4380 |
| 152 and 145 | 22040 |
| 56 and 183 | 10248 |