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Least Common Multiple (LCM) of 171 and 78

The least common multiple (LCM) of 171 and 78 is 4446.

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 171 and 78?

First, calculate the GCD of 171 and 78 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 171 ÷ 78 = 2 remainder 15
2 78 ÷ 15 = 5 remainder 3
3 15 ÷ 3 = 5 remainder 0

Examples of LCM Calculations

NumbersLCM
34 and 1394726
67 and 875829
83 and 18115023
62 and 561736
168 and 746216

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