Least Common Multiple (LCM) of 156 and 70
The least common multiple (LCM) of 156 and 70 is 5460.
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 156 and 70?
First, calculate the GCD of 156 and 70 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 156 ÷ 70 = 2 remainder 16 |
| 2 | 70 ÷ 16 = 4 remainder 6 |
| 3 | 16 ÷ 6 = 2 remainder 4 |
| 4 | 6 ÷ 4 = 1 remainder 2 |
| 5 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 64 and 109 | 6976 |
| 159 and 193 | 30687 |
| 26 and 90 | 1170 |
| 112 and 104 | 1456 |
| 37 and 42 | 1554 |