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Least Common Multiple (LCM) of 169 and 164

The least common multiple (LCM) of 169 and 164 is 27716.

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 169 and 164?

First, calculate the GCD of 169 and 164 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 169 ÷ 164 = 1 remainder 5
2 164 ÷ 5 = 32 remainder 4
3 5 ÷ 4 = 1 remainder 1
4 4 ÷ 1 = 4 remainder 0

Examples of LCM Calculations

NumbersLCM
165 and 18230030
116 and 17119836
161 and 13121091
152 and 17526600
95 and 1302470

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