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Least Common Multiple (LCM) of 185 and 100

The least common multiple (LCM) of 185 and 100 is 3700.

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 185 and 100?

First, calculate the GCD of 185 and 100 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 185 ÷ 100 = 1 remainder 85
2 100 ÷ 85 = 1 remainder 15
3 85 ÷ 15 = 5 remainder 10
4 15 ÷ 10 = 1 remainder 5
5 10 ÷ 5 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
169 and 15926871
162 and 16413284
181 and 6611946
19 and 11209
185 and 351295

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