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Least Common Multiple (LCM) of 46 and 107

The least common multiple (LCM) of 46 and 107 is 4922.

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 107?

First, calculate the GCD of 46 and 107 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 46 ÷ 107 = 0 remainder 46
2 107 ÷ 46 = 2 remainder 15
3 46 ÷ 15 = 3 remainder 1
4 15 ÷ 1 = 15 remainder 0

Examples of LCM Calculations

NumbersLCM
112 and 738176
170 and 15413090
57 and 1096213
191 and 8516235
18 and 1941746

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