Least Common Multiple (LCM) of 119 and 70
The least common multiple (LCM) of 119 and 70 is 1190.
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 119 and 70?
First, calculate the GCD of 119 and 70 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 119 ÷ 70 = 1 remainder 49 |
| 2 | 70 ÷ 49 = 1 remainder 21 |
| 3 | 49 ÷ 21 = 2 remainder 7 |
| 4 | 21 ÷ 7 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 171 and 80 | 13680 |
| 167 and 74 | 12358 |
| 185 and 194 | 35890 |
| 43 and 61 | 2623 |
| 151 and 110 | 16610 |