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Least Common Multiple (LCM) of 122 and 34

The least common multiple (LCM) of 122 and 34 is 2074.

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 122 and 34?

First, calculate the GCD of 122 and 34 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 122 ÷ 34 = 3 remainder 20
2 34 ÷ 20 = 1 remainder 14
3 20 ÷ 14 = 1 remainder 6
4 14 ÷ 6 = 2 remainder 2
5 6 ÷ 2 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
170 and 12120570
72 and 15511160
109 and 13014170
104 and 1281664
30 and 1915730

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