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Least Common Multiple (LCM) of 154 and 26

The least common multiple (LCM) of 154 and 26 is 2002.

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 154 and 26?

First, calculate the GCD of 154 and 26 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 154 ÷ 26 = 5 remainder 24
2 26 ÷ 24 = 1 remainder 2
3 24 ÷ 2 = 12 remainder 0

Examples of LCM Calculations

NumbersLCM
59 and 1015959
32 and 1181888
81 and 856885
94 and 757050
16 and 1701360

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