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Least Common Multiple (LCM) of 26 and 36

The least common multiple (LCM) of 26 and 36 is 468.

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 26 and 36?

First, calculate the GCD of 26 and 36 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 26 ÷ 36 = 0 remainder 26
2 36 ÷ 26 = 1 remainder 10
3 26 ÷ 10 = 2 remainder 6
4 10 ÷ 6 = 1 remainder 4
5 6 ÷ 4 = 1 remainder 2
6 4 ÷ 2 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
104 and 12112584
112 and 515712
19 and 42798
176 and 1406160
82 and 123246

Try Calculating LCM of Other Numbers







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