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Least Common Multiple (LCM) of 104 and 50

The least common multiple (LCM) of 104 and 50 is 2600.

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 104 and 50?

First, calculate the GCD of 104 and 50 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 104 ÷ 50 = 2 remainder 4
2 50 ÷ 4 = 12 remainder 2
3 4 ÷ 2 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
116 and 19322388
30 and 411230
104 and 16208
101 and 15515655
91 and 1261638

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