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Least Common Multiple (LCM) of 186 and 149

The least common multiple (LCM) of 186 and 149 is 27714.

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 186 and 149?

First, calculate the GCD of 186 and 149 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 186 ÷ 149 = 1 remainder 37
2 149 ÷ 37 = 4 remainder 1
3 37 ÷ 1 = 37 remainder 0

Examples of LCM Calculations

NumbersLCM
168 and 1523192
167 and 18430728
134 and 161072
184 and 15127784
107 and 363852

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