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Least Common Multiple (LCM) of 155 and 43

The least common multiple (LCM) of 155 and 43 is 6665.

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 155 and 43?

First, calculate the GCD of 155 and 43 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 155 ÷ 43 = 3 remainder 26
2 43 ÷ 26 = 1 remainder 17
3 26 ÷ 17 = 1 remainder 9
4 17 ÷ 9 = 1 remainder 8
5 9 ÷ 8 = 1 remainder 1
6 8 ÷ 1 = 8 remainder 0

Examples of LCM Calculations

NumbersLCM
130 and 17322490
196 and 8316268
107 and 16017120
15 and 1030
18 and 1091962

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