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Least Common Multiple (LCM) of 169 and 129

The least common multiple (LCM) of 169 and 129 is 21801.

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 129?

First, calculate the GCD of 169 and 129 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 169 ÷ 129 = 1 remainder 40
2 129 ÷ 40 = 3 remainder 9
3 40 ÷ 9 = 4 remainder 4
4 9 ÷ 4 = 2 remainder 1
5 4 ÷ 1 = 4 remainder 0

Examples of LCM Calculations

NumbersLCM
60 and 168840
101 and 14915049
30 and 1614830
48 and 176528
163 and 264238

Try Calculating LCM of Other Numbers







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