Least Common Multiple (LCM) of 70 and 152
The least common multiple (LCM) of 70 and 152 is 5320.
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 70 and 152?
First, calculate the GCD of 70 and 152 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 70 ÷ 152 = 0 remainder 70 |
| 2 | 152 ÷ 70 = 2 remainder 12 |
| 3 | 70 ÷ 12 = 5 remainder 10 |
| 4 | 12 ÷ 10 = 1 remainder 2 |
| 5 | 10 ÷ 2 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 53 and 117 | 6201 |
| 83 and 10 | 830 |
| 138 and 135 | 6210 |
| 170 and 75 | 2550 |
| 90 and 170 | 1530 |