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Least Common Multiple (LCM) of 38 and 77

The least common multiple (LCM) of 38 and 77 is 2926.

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 38 and 77?

First, calculate the GCD of 38 and 77 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 38 ÷ 77 = 0 remainder 38
2 77 ÷ 38 = 2 remainder 1
3 38 ÷ 1 = 38 remainder 0

Examples of LCM Calculations

NumbersLCM
135 and 15420790
184 and 561288
141 and 1537191
14 and 76532
63 and 1308190

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