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Least Common Multiple (LCM) of 46 and 148

The least common multiple (LCM) of 46 and 148 is 3404.

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 148?

First, calculate the GCD of 46 and 148 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 46 ÷ 148 = 0 remainder 46
2 148 ÷ 46 = 3 remainder 10
3 46 ÷ 10 = 4 remainder 6
4 10 ÷ 6 = 1 remainder 4
5 6 ÷ 4 = 1 remainder 2
6 4 ÷ 2 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
108 and 1776372
104 and 1842392
60 and 1752100
159 and 422226
116 and 1669628

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