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Least Common Multiple (LCM) of 194 and 35

The least common multiple (LCM) of 194 and 35 is 6790.

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 194 and 35?

First, calculate the GCD of 194 and 35 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 194 ÷ 35 = 5 remainder 19
2 35 ÷ 19 = 1 remainder 16
3 19 ÷ 16 = 1 remainder 3
4 16 ÷ 3 = 5 remainder 1
5 3 ÷ 1 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
21 and 175525
164 and 947708
25 and 1573925
194 and 15730458
32 and 661056

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