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Least Common Multiple (LCM) of 199 and 156

The least common multiple (LCM) of 199 and 156 is 31044.

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 199 and 156?

First, calculate the GCD of 199 and 156 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 199 ÷ 156 = 1 remainder 43
2 156 ÷ 43 = 3 remainder 27
3 43 ÷ 27 = 1 remainder 16
4 27 ÷ 16 = 1 remainder 11
5 16 ÷ 11 = 1 remainder 5
6 11 ÷ 5 = 2 remainder 1
7 5 ÷ 1 = 5 remainder 0

Examples of LCM Calculations

NumbersLCM
137 and 8711919
14 and 142994
138 and 9513110
186 and 392418
98 and 15915582

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