Least Common Multiple (LCM) of 126 and 70
The least common multiple (LCM) of 126 and 70 is 630.
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 126 and 70?
First, calculate the GCD of 126 and 70 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 126 ÷ 70 = 1 remainder 56 |
| 2 | 70 ÷ 56 = 1 remainder 14 |
| 3 | 56 ÷ 14 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 182 and 176 | 16016 |
| 67 and 198 | 13266 |
| 30 and 148 | 2220 |
| 149 and 150 | 22350 |
| 120 and 155 | 3720 |