
Least Common Multiple (LCM) of 121 and 63
The least common multiple (LCM) of 121 and 63 is 7623.
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 121 and 63?
First, calculate the GCD of 121 and 63 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
Step | Calculation |
---|---|
1 | 121 ÷ 63 = 1 remainder 58 |
2 | 63 ÷ 58 = 1 remainder 5 |
3 | 58 ÷ 5 = 11 remainder 3 |
4 | 5 ÷ 3 = 1 remainder 2 |
5 | 3 ÷ 2 = 1 remainder 1 |
6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
Numbers | LCM |
---|---|
150 and 52 | 3900 |
134 and 102 | 6834 |
48 and 17 | 816 |
103 and 172 | 17716 |
100 and 57 | 5700 |