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Least Common Multiple (LCM) of 186 and 169

The least common multiple (LCM) of 186 and 169 is 31434.

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 169?

First, calculate the GCD of 186 and 169 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 186 ÷ 169 = 1 remainder 17
2 169 ÷ 17 = 9 remainder 16
3 17 ÷ 16 = 1 remainder 1
4 16 ÷ 1 = 16 remainder 0

Examples of LCM Calculations

NumbersLCM
74 and 1279398
49 and 1949506
55 and 1751925
74 and 16111914
176 and 746512

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