
Least Common Multiple (LCM) of 101 and 98
The least common multiple (LCM) of 101 and 98 is 9898.
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 101 and 98?
First, calculate the GCD of 101 and 98 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
Step | Calculation |
---|---|
1 | 101 ÷ 98 = 1 remainder 3 |
2 | 98 ÷ 3 = 32 remainder 2 |
3 | 3 ÷ 2 = 1 remainder 1 |
4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
Numbers | LCM |
---|---|
174 and 40 | 3480 |
136 and 189 | 25704 |
182 and 73 | 13286 |
149 and 100 | 14900 |
127 and 125 | 15875 |