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Least Common Multiple (LCM) of 55 and 183

The least common multiple (LCM) of 55 and 183 is 10065.

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 55 and 183?

First, calculate the GCD of 55 and 183 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 55 ÷ 183 = 0 remainder 55
2 183 ÷ 55 = 3 remainder 18
3 55 ÷ 18 = 3 remainder 1
4 18 ÷ 1 = 18 remainder 0

Examples of LCM Calculations

NumbersLCM
112 and 10912208
141 and 14520445
141 and 188564
198 and 1172574
114 and 1005700

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