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Least Common Multiple (LCM) of 164 and 105

The least common multiple (LCM) of 164 and 105 is 17220.

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 164 and 105?

First, calculate the GCD of 164 and 105 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 164 ÷ 105 = 1 remainder 59
2 105 ÷ 59 = 1 remainder 46
3 59 ÷ 46 = 1 remainder 13
4 46 ÷ 13 = 3 remainder 7
5 13 ÷ 7 = 1 remainder 6
6 7 ÷ 6 = 1 remainder 1
7 6 ÷ 1 = 6 remainder 0

Examples of LCM Calculations

NumbersLCM
149 and 10816092
98 and 13112838
29 and 1243596
144 and 1597632
56 and 1841288

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