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Least Common Multiple (LCM) of 74 and 154

The least common multiple (LCM) of 74 and 154 is 5698.

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 74 and 154?

First, calculate the GCD of 74 and 154 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 74 ÷ 154 = 0 remainder 74
2 154 ÷ 74 = 2 remainder 6
3 74 ÷ 6 = 12 remainder 2
4 6 ÷ 2 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
54 and 1035562
177 and 1539027
149 and 659685
39 and 51663
164 and 1767216

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