Least Common Multiple (LCM) of 147 and 77
The least common multiple (LCM) of 147 and 77 is 1617.
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 147 and 77?
First, calculate the GCD of 147 and 77 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 147 ÷ 77 = 1 remainder 70 |
| 2 | 77 ÷ 70 = 1 remainder 7 |
| 3 | 70 ÷ 7 = 10 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 113 and 143 | 16159 |
| 23 and 31 | 713 |
| 17 and 90 | 1530 |
| 147 and 91 | 1911 |
| 15 and 168 | 840 |