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Least Common Multiple (LCM) of 77 and 22

The least common multiple (LCM) of 77 and 22 is 154.

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 77 and 22?

First, calculate the GCD of 77 and 22 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 77 ÷ 22 = 3 remainder 11
2 22 ÷ 11 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
134 and 10113534
13 and 37481
174 and 12348
35 and 30210
115 and 141610

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