
Least Common Multiple (LCM) of 123 and 58
The least common multiple (LCM) of 123 and 58 is 7134.
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 58?
First, calculate the GCD of 123 and 58 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
Step | Calculation |
---|---|
1 | 123 ÷ 58 = 2 remainder 7 |
2 | 58 ÷ 7 = 8 remainder 2 |
3 | 7 ÷ 2 = 3 remainder 1 |
4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
Numbers | LCM |
---|---|
152 and 181 | 27512 |
139 and 159 | 22101 |
64 and 34 | 1088 |
140 and 56 | 280 |
119 and 163 | 19397 |