
Least Common Multiple (LCM) of 125 and 153
The least common multiple (LCM) of 125 and 153 is 19125.
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 125 and 153?
First, calculate the GCD of 125 and 153 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
Step | Calculation |
---|---|
1 | 125 ÷ 153 = 0 remainder 125 |
2 | 153 ÷ 125 = 1 remainder 28 |
3 | 125 ÷ 28 = 4 remainder 13 |
4 | 28 ÷ 13 = 2 remainder 2 |
5 | 13 ÷ 2 = 6 remainder 1 |
6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
Numbers | LCM |
---|---|
136 and 41 | 5576 |
21 and 197 | 4137 |
92 and 114 | 5244 |
158 and 133 | 21014 |
171 and 140 | 23940 |