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Least Common Multiple (LCM) of 34 and 29

The least common multiple (LCM) of 34 and 29 is 986.

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 29?

First, calculate the GCD of 34 and 29 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 34 ÷ 29 = 1 remainder 5
2 29 ÷ 5 = 5 remainder 4
3 5 ÷ 4 = 1 remainder 1
4 4 ÷ 1 = 4 remainder 0

Examples of LCM Calculations

NumbersLCM
88 and 575016
106 and 1045512
156 and 1081404
32 and 1655280
24 and 126504

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