Least Common Multiple (LCM) of 88 and 76
The least common multiple (LCM) of 88 and 76 is 1672.
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 76?
First, calculate the GCD of 88 and 76 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 88 ÷ 76 = 1 remainder 12 |
| 2 | 76 ÷ 12 = 6 remainder 4 |
| 3 | 12 ÷ 4 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 73 and 78 | 5694 |
| 106 and 188 | 9964 |
| 87 and 123 | 3567 |
| 167 and 160 | 26720 |
| 152 and 47 | 7144 |