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Least Common Multiple (LCM) of 92 and 74

The least common multiple (LCM) of 92 and 74 is 3404.

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 92 and 74?

First, calculate the GCD of 92 and 74 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 92 ÷ 74 = 1 remainder 18
2 74 ÷ 18 = 4 remainder 2
3 18 ÷ 2 = 9 remainder 0

Examples of LCM Calculations

NumbersLCM
95 and 131235
67 and 161072
17 and 1141938
26 and 1461898
189 and 529828

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