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Least Common Multiple (LCM) of 196 and 106

The least common multiple (LCM) of 196 and 106 is 10388.

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 106?

First, calculate the GCD of 196 and 106 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 196 ÷ 106 = 1 remainder 90
2 106 ÷ 90 = 1 remainder 16
3 90 ÷ 16 = 5 remainder 10
4 16 ÷ 10 = 1 remainder 6
5 10 ÷ 6 = 1 remainder 4
6 6 ÷ 4 = 1 remainder 2
7 4 ÷ 2 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
30 and 1241860
100 and 16916900
101 and 434343
155 and 1203720
130 and 16810920

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