Least Common Multiple (LCM) of 152 and 151
The least common multiple (LCM) of 152 and 151 is 22952.
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 151?
First, calculate the GCD of 152 and 151 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 152 ÷ 151 = 1 remainder 1 |
| 2 | 151 ÷ 1 = 151 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 27 and 29 | 783 |
| 121 and 62 | 7502 |
| 179 and 97 | 17363 |
| 53 and 148 | 7844 |
| 139 and 126 | 17514 |