Least Common Multiple (LCM) of 152 and 120
The least common multiple (LCM) of 152 and 120 is 2280.
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 120?
First, calculate the GCD of 152 and 120 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 152 ÷ 120 = 1 remainder 32 |
| 2 | 120 ÷ 32 = 3 remainder 24 |
| 3 | 32 ÷ 24 = 1 remainder 8 |
| 4 | 24 ÷ 8 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 35 and 54 | 1890 |
| 150 and 119 | 17850 |
| 190 and 55 | 2090 |
| 36 and 102 | 612 |
| 145 and 44 | 6380 |