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Least Common Multiple (LCM) of 46 and 55

The least common multiple (LCM) of 46 and 55 is 2530.

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 55?

First, calculate the GCD of 46 and 55 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 46 ÷ 55 = 0 remainder 46
2 55 ÷ 46 = 1 remainder 9
3 46 ÷ 9 = 5 remainder 1
4 9 ÷ 1 = 9 remainder 0

Examples of LCM Calculations

NumbersLCM
22 and 1192618
96 and 168672
111 and 27999
117 and 10011700
175 and 1473675

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