Least Common Multiple (LCM) of 151 and 70
The least common multiple (LCM) of 151 and 70 is 10570.
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 70?
First, calculate the GCD of 151 and 70 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 151 ÷ 70 = 2 remainder 11 |
| 2 | 70 ÷ 11 = 6 remainder 4 |
| 3 | 11 ÷ 4 = 2 remainder 3 |
| 4 | 4 ÷ 3 = 1 remainder 1 |
| 5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 137 and 125 | 17125 |
| 155 and 195 | 6045 |
| 14 and 170 | 1190 |
| 114 and 39 | 1482 |
| 116 and 54 | 3132 |