Least Common Multiple (LCM) of 152 and 78
The least common multiple (LCM) of 152 and 78 is 5928.
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 152 and 78?
First, calculate the GCD of 152 and 78 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 152 ÷ 78 = 1 remainder 74 |
| 2 | 78 ÷ 74 = 1 remainder 4 |
| 3 | 74 ÷ 4 = 18 remainder 2 |
| 4 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 145 and 139 | 20155 |
| 115 and 53 | 6095 |
| 49 and 123 | 6027 |
| 148 and 89 | 13172 |
| 57 and 25 | 1425 |