
Least Common Multiple (LCM) of 10 and 148
The least common multiple (LCM) of 10 and 148 is 740.
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 10 and 148?
First, calculate the GCD of 10 and 148 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
Step | Calculation |
---|---|
1 | 10 ÷ 148 = 0 remainder 10 |
2 | 148 ÷ 10 = 14 remainder 8 |
3 | 10 ÷ 8 = 1 remainder 2 |
4 | 8 ÷ 2 = 4 remainder 0 |
Examples of LCM Calculations
Numbers | LCM |
---|---|
112 and 148 | 4144 |
174 and 105 | 6090 |
164 and 40 | 1640 |
170 and 185 | 6290 |
194 and 176 | 17072 |