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Least Common Multiple (LCM) of 36 and 174

The least common multiple (LCM) of 36 and 174 is 1044.

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 36 and 174?

First, calculate the GCD of 36 and 174 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 36 ÷ 174 = 0 remainder 36
2 174 ÷ 36 = 4 remainder 30
3 36 ÷ 30 = 1 remainder 6
4 30 ÷ 6 = 5 remainder 0

Examples of LCM Calculations

NumbersLCM
150 and 1188850
28 and 1761232
122 and 19011590
134 and 221474
194 and 194194

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