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Least Common Multiple (LCM) of 34 and 109

The least common multiple (LCM) of 34 and 109 is 3706.

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 109?

First, calculate the GCD of 34 and 109 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 34 ÷ 109 = 0 remainder 34
2 109 ÷ 34 = 3 remainder 7
3 34 ÷ 7 = 4 remainder 6
4 7 ÷ 6 = 1 remainder 1
5 6 ÷ 1 = 6 remainder 0

Examples of LCM Calculations

NumbersLCM
10 and 1671670
168 and 9716296
144 and 1244464
123 and 1506150
11 and 4444

Try Calculating LCM of Other Numbers







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