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Least Common Multiple (LCM) of 70 and 194

The least common multiple (LCM) of 70 and 194 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 70 and 194?

First, calculate the GCD of 70 and 194 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 70 ÷ 194 = 0 remainder 70
2 194 ÷ 70 = 2 remainder 54
3 70 ÷ 54 = 1 remainder 16
4 54 ÷ 16 = 3 remainder 6
5 16 ÷ 6 = 2 remainder 4
6 6 ÷ 4 = 1 remainder 2
7 4 ÷ 2 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
76 and 171684
199 and 6312537
165 and 172805
132 and 192508
125 and 10613250

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