Least Common Multiple (LCM) of 152 and 123
The least common multiple (LCM) of 152 and 123 is 18696.
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 152 and 123?
First, calculate the GCD of 152 and 123 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 152 ÷ 123 = 1 remainder 29 |
| 2 | 123 ÷ 29 = 4 remainder 7 |
| 3 | 29 ÷ 7 = 4 remainder 1 |
| 4 | 7 ÷ 1 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 19 and 49 | 931 |
| 157 and 51 | 8007 |
| 110 and 174 | 9570 |
| 58 and 65 | 3770 |
| 14 and 87 | 1218 |