Least Common Multiple (LCM) of 157 and 120
The least common multiple (LCM) of 157 and 120 is 18840.
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 120?
First, calculate the GCD of 157 and 120 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 157 ÷ 120 = 1 remainder 37 |
| 2 | 120 ÷ 37 = 3 remainder 9 |
| 3 | 37 ÷ 9 = 4 remainder 1 |
| 4 | 9 ÷ 1 = 9 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 13 and 93 | 1209 |
| 84 and 25 | 2100 |
| 10 and 157 | 1570 |
| 168 and 184 | 3864 |
| 194 and 34 | 3298 |