Least Common Multiple (LCM) of 157 and 107
The least common multiple (LCM) of 157 and 107 is 16799.
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 107?
First, calculate the GCD of 157 and 107 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 157 ÷ 107 = 1 remainder 50 |
| 2 | 107 ÷ 50 = 2 remainder 7 |
| 3 | 50 ÷ 7 = 7 remainder 1 |
| 4 | 7 ÷ 1 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 178 and 59 | 10502 |
| 149 and 117 | 17433 |
| 184 and 173 | 31832 |
| 36 and 180 | 180 |
| 160 and 137 | 21920 |