
Least Common Multiple (LCM) of 20 and 36
The least common multiple (LCM) of 20 and 36 is 180.
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 20 and 36?
First, calculate the GCD of 20 and 36 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
Step | Calculation |
---|---|
1 | 20 ÷ 36 = 0 remainder 20 |
2 | 36 ÷ 20 = 1 remainder 16 |
3 | 20 ÷ 16 = 1 remainder 4 |
4 | 16 ÷ 4 = 4 remainder 0 |
Examples of LCM Calculations
Numbers | LCM |
---|---|
99 and 116 | 11484 |
74 and 29 | 2146 |
24 and 199 | 4776 |
162 and 160 | 12960 |
77 and 194 | 14938 |