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Least Common Multiple (LCM) of 146 and 71

The least common multiple (LCM) of 146 and 71 is 10366.

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 146 and 71?

First, calculate the GCD of 146 and 71 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 146 ÷ 71 = 2 remainder 4
2 71 ÷ 4 = 17 remainder 3
3 4 ÷ 3 = 1 remainder 1
4 3 ÷ 1 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
102 and 1113774
90 and 951710
114 and 1066042
83 and 13010790
185 and 15328305

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