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Least Common Multiple (LCM) of 11 and 77

The least common multiple (LCM) of 11 and 77 is 77.

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 11 and 77?

First, calculate the GCD of 11 and 77 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

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

Examples of LCM Calculations

NumbersLCM
180 and 17710620
138 and 17211868
161 and 9415134
158 and 12519750
38 and 1676346

Try Calculating LCM of Other Numbers







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