
Least Common Multiple (LCM) of 59 and 23
The least common multiple (LCM) of 59 and 23 is 1357.
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 59 and 23?
First, calculate the GCD of 59 and 23 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
Step | Calculation |
---|---|
1 | 59 ÷ 23 = 2 remainder 13 |
2 | 23 ÷ 13 = 1 remainder 10 |
3 | 13 ÷ 10 = 1 remainder 3 |
4 | 10 ÷ 3 = 3 remainder 1 |
5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
Numbers | LCM |
---|---|
144 and 28 | 1008 |
180 and 110 | 1980 |
40 and 136 | 680 |
148 and 187 | 27676 |
53 and 63 | 3339 |