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Least Common Multiple (LCM) of 77 and 27

The least common multiple (LCM) of 77 and 27 is 2079.

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 27?

First, calculate the GCD of 77 and 27 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 77 ÷ 27 = 2 remainder 23
2 27 ÷ 23 = 1 remainder 4
3 23 ÷ 4 = 5 remainder 3
4 4 ÷ 3 = 1 remainder 1
5 3 ÷ 1 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
53 and 402120
148 and 13319684
104 and 10520
138 and 375106
190 and 585510

Try Calculating LCM of Other Numbers







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