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Least Common Multiple (LCM) of 77 and 84

The least common multiple (LCM) of 77 and 84 is 924.

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 84?

First, calculate the GCD of 77 and 84 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 77 ÷ 84 = 0 remainder 77
2 84 ÷ 77 = 1 remainder 7
3 77 ÷ 7 = 11 remainder 0

Examples of LCM Calculations

NumbersLCM
108 and 1163132
24 and 611464
45 and 833735
170 and 85170
112 and 394368

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