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Least Common Multiple (LCM) of 63 and 77

The least common multiple (LCM) of 63 and 77 is 693.

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 63 and 77?

First, calculate the GCD of 63 and 77 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 63 ÷ 77 = 0 remainder 63
2 77 ÷ 63 = 1 remainder 14
3 63 ÷ 14 = 4 remainder 7
4 14 ÷ 7 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
183 and 452745
30 and 861290
135 and 17924165
61 and 583538
44 and 198396

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