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Least Common Multiple (LCM) of 34 and 169

The least common multiple (LCM) of 34 and 169 is 5746.

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 34 and 169?

First, calculate the GCD of 34 and 169 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 34 ÷ 169 = 0 remainder 34
2 169 ÷ 34 = 4 remainder 33
3 34 ÷ 33 = 1 remainder 1
4 33 ÷ 1 = 33 remainder 0

Examples of LCM Calculations

NumbersLCM
145 and 7110295
91 and 19117381
113 and 889944
192 and 1245952
197 and 9819306

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