Least Common Multiple (LCM) of 61 and 152
The least common multiple (LCM) of 61 and 152 is 9272.
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 61 and 152?
First, calculate the GCD of 61 and 152 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 61 ÷ 152 = 0 remainder 61 |
| 2 | 152 ÷ 61 = 2 remainder 30 |
| 3 | 61 ÷ 30 = 2 remainder 1 |
| 4 | 30 ÷ 1 = 30 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 44 and 74 | 1628 |
| 136 and 176 | 2992 |
| 45 and 14 | 630 |
| 34 and 41 | 1394 |
| 125 and 48 | 6000 |