
Least Common Multiple (LCM) of 23 and 157
The least common multiple (LCM) of 23 and 157 is 3611.
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 23 and 157?
First, calculate the GCD of 23 and 157 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
Step | Calculation |
---|---|
1 | 23 ÷ 157 = 0 remainder 23 |
2 | 157 ÷ 23 = 6 remainder 19 |
3 | 23 ÷ 19 = 1 remainder 4 |
4 | 19 ÷ 4 = 4 remainder 3 |
5 | 4 ÷ 3 = 1 remainder 1 |
6 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
Numbers | LCM |
---|---|
106 and 18 | 954 |
131 and 168 | 22008 |
191 and 197 | 37627 |
117 and 131 | 15327 |
166 and 156 | 12948 |