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Least Common Multiple (LCM) of 46 and 22

The least common multiple (LCM) of 46 and 22 is 506.

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 46 and 22?

First, calculate the GCD of 46 and 22 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 46 ÷ 22 = 2 remainder 2
2 22 ÷ 2 = 11 remainder 0

Examples of LCM Calculations

NumbersLCM
149 and 527748
87 and 474089
173 and 9716781
121 and 16620086
34 and 1856290

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