Least Common Multiple (LCM) of 153 and 62
The least common multiple (LCM) of 153 and 62 is 9486.
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 153 and 62?
First, calculate the GCD of 153 and 62 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 153 ÷ 62 = 2 remainder 29 |
| 2 | 62 ÷ 29 = 2 remainder 4 |
| 3 | 29 ÷ 4 = 7 remainder 1 |
| 4 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 124 and 56 | 1736 |
| 192 and 36 | 576 |
| 68 and 129 | 8772 |
| 136 and 23 | 3128 |
| 146 and 90 | 6570 |