Least Common Multiple (LCM) of 88 and 151
The least common multiple (LCM) of 88 and 151 is 13288.
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 88 and 151?
First, calculate the GCD of 88 and 151 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 88 ÷ 151 = 0 remainder 88 |
| 2 | 151 ÷ 88 = 1 remainder 63 |
| 3 | 88 ÷ 63 = 1 remainder 25 |
| 4 | 63 ÷ 25 = 2 remainder 13 |
| 5 | 25 ÷ 13 = 1 remainder 12 |
| 6 | 13 ÷ 12 = 1 remainder 1 |
| 7 | 12 ÷ 1 = 12 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 90 and 147 | 4410 |
| 151 and 167 | 25217 |
| 51 and 28 | 1428 |
| 181 and 170 | 30770 |
| 63 and 157 | 9891 |