Least Common Multiple (LCM) of 151 and 30
The least common multiple (LCM) of 151 and 30 is 4530.
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 151 and 30?
First, calculate the GCD of 151 and 30 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 151 ÷ 30 = 5 remainder 1 |
| 2 | 30 ÷ 1 = 30 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 91 and 102 | 9282 |
| 180 and 70 | 1260 |
| 174 and 175 | 30450 |
| 135 and 29 | 3915 |
| 190 and 136 | 12920 |