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Least Common Multiple (LCM) of 103 and 157

The least common multiple (LCM) of 103 and 157 is 16171.

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 157?

First, calculate the GCD of 103 and 157 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 103 ÷ 157 = 0 remainder 103
2 157 ÷ 103 = 1 remainder 54
3 103 ÷ 54 = 1 remainder 49
4 54 ÷ 49 = 1 remainder 5
5 49 ÷ 5 = 9 remainder 4
6 5 ÷ 4 = 1 remainder 1
7 4 ÷ 1 = 4 remainder 0

Examples of LCM Calculations

NumbersLCM
21 and 33231
114 and 9711058
113 and 596667
182 and 121092
183 and 18233306

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