Least Common Multiple (LCM) of 141 and 72
The least common multiple (LCM) of 141 and 72 is 3384.
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 141 and 72?
First, calculate the GCD of 141 and 72 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 141 ÷ 72 = 1 remainder 69 |
| 2 | 72 ÷ 69 = 1 remainder 3 |
| 3 | 69 ÷ 3 = 23 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 30 and 62 | 930 |
| 98 and 153 | 14994 |
| 109 and 171 | 18639 |
| 106 and 166 | 8798 |
| 42 and 47 | 1974 |