HowManyNumbers Logo

Least Common Multiple (LCM) of 196 and 81

The least common multiple (LCM) of 196 and 81 is 15876.

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 196 and 81?

First, calculate the GCD of 196 and 81 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 196 ÷ 81 = 2 remainder 34
2 81 ÷ 34 = 2 remainder 13
3 34 ÷ 13 = 2 remainder 8
4 13 ÷ 8 = 1 remainder 5
5 8 ÷ 5 = 1 remainder 3
6 5 ÷ 3 = 1 remainder 2
7 3 ÷ 2 = 1 remainder 1
8 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
80 and 14711760
35 and 361260
156 and 762964
59 and 362124
185 and 12923865

Try Calculating LCM of Other Numbers







Related Calculators