Least Common Multiple (LCM) of 142 and 72
The least common multiple (LCM) of 142 and 72 is 5112.
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 142 and 72?
First, calculate the GCD of 142 and 72 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 142 ÷ 72 = 1 remainder 70 |
| 2 | 72 ÷ 70 = 1 remainder 2 |
| 3 | 70 ÷ 2 = 35 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 27 and 10 | 270 |
| 67 and 112 | 7504 |
| 196 and 134 | 13132 |
| 152 and 45 | 6840 |
| 29 and 47 | 1363 |