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Least Common Multiple (LCM) of 119 and 81

The least common multiple (LCM) of 119 and 81 is 9639.

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 119 and 81?

First, calculate the GCD of 119 and 81 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 119 ÷ 81 = 1 remainder 38
2 81 ÷ 38 = 2 remainder 5
3 38 ÷ 5 = 7 remainder 3
4 5 ÷ 3 = 1 remainder 2
5 3 ÷ 2 = 1 remainder 1
6 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
29 and 1233567
91 and 867826
88 and 1601760
140 and 1332660
18 and 129774

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