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Least Common Multiple (LCM) of 36 and 74

The least common multiple (LCM) of 36 and 74 is 1332.

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 74?

First, calculate the GCD of 36 and 74 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 36 ÷ 74 = 0 remainder 36
2 74 ÷ 36 = 2 remainder 2
3 36 ÷ 2 = 18 remainder 0

Examples of LCM Calculations

NumbersLCM
43 and 1888084
91 and 21273
85 and 484080
183 and 1267686
200 and 901800

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