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Least Common Multiple (LCM) of 69 and 77

The least common multiple (LCM) of 69 and 77 is 5313.

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 69 and 77?

First, calculate the GCD of 69 and 77 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 69 ÷ 77 = 0 remainder 69
2 77 ÷ 69 = 1 remainder 8
3 69 ÷ 8 = 8 remainder 5
4 8 ÷ 5 = 1 remainder 3
5 5 ÷ 3 = 1 remainder 2
6 3 ÷ 2 = 1 remainder 1
7 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
87 and 625394
85 and 968160
75 and 1593975
134 and 172278
70 and 1866510

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