Least Common Multiple (LCM) of 73 and 120
The least common multiple (LCM) of 73 and 120 is 8760.
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 73 and 120?
First, calculate the GCD of 73 and 120 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 73 ÷ 120 = 0 remainder 73 |
| 2 | 120 ÷ 73 = 1 remainder 47 |
| 3 | 73 ÷ 47 = 1 remainder 26 |
| 4 | 47 ÷ 26 = 1 remainder 21 |
| 5 | 26 ÷ 21 = 1 remainder 5 |
| 6 | 21 ÷ 5 = 4 remainder 1 |
| 7 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 160 and 157 | 25120 |
| 191 and 162 | 30942 |
| 179 and 16 | 2864 |
| 45 and 153 | 765 |
| 30 and 88 | 1320 |