
Least Common Multiple (LCM) of 153 and 121
The least common multiple (LCM) of 153 and 121 is 18513.
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 121?
First, calculate the GCD of 153 and 121 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
Step | Calculation |
---|---|
1 | 153 ÷ 121 = 1 remainder 32 |
2 | 121 ÷ 32 = 3 remainder 25 |
3 | 32 ÷ 25 = 1 remainder 7 |
4 | 25 ÷ 7 = 3 remainder 4 |
5 | 7 ÷ 4 = 1 remainder 3 |
6 | 4 ÷ 3 = 1 remainder 1 |
7 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
Numbers | LCM |
---|---|
146 and 36 | 2628 |
132 and 26 | 1716 |
22 and 170 | 1870 |
124 and 129 | 15996 |
93 and 182 | 16926 |