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Least Common Multiple (LCM) of 34 and 154

The least common multiple (LCM) of 34 and 154 is 2618.

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 154?

First, calculate the GCD of 34 and 154 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 34 ÷ 154 = 0 remainder 34
2 154 ÷ 34 = 4 remainder 18
3 34 ÷ 18 = 1 remainder 16
4 18 ÷ 16 = 1 remainder 2
5 16 ÷ 2 = 8 remainder 0

Examples of LCM Calculations

NumbersLCM
195 and 543510
13 and 1461898
83 and 1199877
172 and 18131132
187 and 771309

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