Least Common Multiple (LCM) of 152 and 36
The least common multiple (LCM) of 152 and 36 is 1368.
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 36?
First, calculate the GCD of 152 and 36 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 152 ÷ 36 = 4 remainder 8 |
| 2 | 36 ÷ 8 = 4 remainder 4 |
| 3 | 8 ÷ 4 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 164 and 121 | 19844 |
| 184 and 124 | 5704 |
| 136 and 124 | 4216 |
| 143 and 183 | 26169 |
| 114 and 30 | 570 |