
Least Common Multiple (LCM) of 146 and 71
The least common multiple (LCM) of 146 and 71 is 10366.
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 146 and 71?
First, calculate the GCD of 146 and 71 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
Step | Calculation |
---|---|
1 | 146 ÷ 71 = 2 remainder 4 |
2 | 71 ÷ 4 = 17 remainder 3 |
3 | 4 ÷ 3 = 1 remainder 1 |
4 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
Numbers | LCM |
---|---|
102 and 111 | 3774 |
90 and 95 | 1710 |
114 and 106 | 6042 |
83 and 130 | 10790 |
185 and 153 | 28305 |