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Least Common Multiple (LCM) of 77 and 74

The least common multiple (LCM) of 77 and 74 is 5698.

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 74?

First, calculate the GCD of 77 and 74 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 77 ÷ 74 = 1 remainder 3
2 74 ÷ 3 = 24 remainder 2
3 3 ÷ 2 = 1 remainder 1
4 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
10 and 120120
167 and 8313861
21 and 1523192
42 and 1496258
123 and 24984

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