
Least Common Multiple (LCM) of 123 and 152
The least common multiple (LCM) of 123 and 152 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 123 and 152?
First, calculate the GCD of 123 and 152 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
Step | Calculation |
---|---|
1 | 123 ÷ 152 = 0 remainder 123 |
2 | 152 ÷ 123 = 1 remainder 29 |
3 | 123 ÷ 29 = 4 remainder 7 |
4 | 29 ÷ 7 = 4 remainder 1 |
5 | 7 ÷ 1 = 7 remainder 0 |
Examples of LCM Calculations
Numbers | LCM |
---|---|
193 and 198 | 38214 |
103 and 178 | 18334 |
41 and 174 | 7134 |
172 and 177 | 30444 |
182 and 23 | 4186 |