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Least Common Multiple (LCM) of 68 and 196

The least common multiple (LCM) of 68 and 196 is 3332.

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 68 and 196?

First, calculate the GCD of 68 and 196 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 68 ÷ 196 = 0 remainder 68
2 196 ÷ 68 = 2 remainder 60
3 68 ÷ 60 = 1 remainder 8
4 60 ÷ 8 = 7 remainder 4
5 8 ÷ 4 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
160 and 15324480
84 and 12510500
11 and 1501650
119 and 14817612
200 and 5310600

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