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Least Common Multiple (LCM) of 77 and 46

The least common multiple (LCM) of 77 and 46 is 3542.

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 46?

First, calculate the GCD of 77 and 46 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 77 ÷ 46 = 1 remainder 31
2 46 ÷ 31 = 1 remainder 15
3 31 ÷ 15 = 2 remainder 1
4 15 ÷ 1 = 15 remainder 0

Examples of LCM Calculations

NumbersLCM
124 and 155620
96 and 1467008
131 and 9111921
166 and 18615438
158 and 14322594

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