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Least Common Multiple (LCM) of 40 and 169

The least common multiple (LCM) of 40 and 169 is 6760.

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 40 and 169?

First, calculate the GCD of 40 and 169 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 40 ÷ 169 = 0 remainder 40
2 169 ÷ 40 = 4 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
109 and 14415696
10 and 84420
68 and 881496
46 and 184184
21 and 1372877

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