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Least Common Multiple (LCM) of 154 and 103

The least common multiple (LCM) of 154 and 103 is 15862.

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 103?

First, calculate the GCD of 154 and 103 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 154 ÷ 103 = 1 remainder 51
2 103 ÷ 51 = 2 remainder 1
3 51 ÷ 1 = 51 remainder 0

Examples of LCM Calculations

NumbersLCM
162 and 18162
141 and 1145358
194 and 10119594
160 and 11718720
121 and 566776

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