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Least Common Multiple (LCM) of 103 and 95

The least common multiple (LCM) of 103 and 95 is 9785.

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 103 and 95?

First, calculate the GCD of 103 and 95 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 103 ÷ 95 = 1 remainder 8
2 95 ÷ 8 = 11 remainder 7
3 8 ÷ 7 = 1 remainder 1
4 7 ÷ 1 = 7 remainder 0

Examples of LCM Calculations

NumbersLCM
122 and 1267686
31 and 521612
136 and 456120
46 and 1423266
189 and 901890

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