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Least Common Multiple (LCM) of 53 and 46

The least common multiple (LCM) of 53 and 46 is 2438.

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 53 and 46?

First, calculate the GCD of 53 and 46 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 53 ÷ 46 = 1 remainder 7
2 46 ÷ 7 = 6 remainder 4
3 7 ÷ 4 = 1 remainder 3
4 4 ÷ 3 = 1 remainder 1
5 3 ÷ 1 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
169 and 10317407
101 and 15715857
127 and 465842
177 and 13724249
37 and 401480

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