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Least Common Multiple (LCM) of 174 and 26

The least common multiple (LCM) of 174 and 26 is 2262.

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 174 and 26?

First, calculate the GCD of 174 and 26 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 174 ÷ 26 = 6 remainder 18
2 26 ÷ 18 = 1 remainder 8
3 18 ÷ 8 = 2 remainder 2
4 8 ÷ 2 = 4 remainder 0

Examples of LCM Calculations

NumbersLCM
195 and 1104290
23 and 1162668
165 and 264290
35 and 893115
94 and 401880

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