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Least Common Multiple (LCM) of 169 and 119

The least common multiple (LCM) of 169 and 119 is 20111.

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 119?

First, calculate the GCD of 169 and 119 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 169 ÷ 119 = 1 remainder 50
2 119 ÷ 50 = 2 remainder 19
3 50 ÷ 19 = 2 remainder 12
4 19 ÷ 12 = 1 remainder 7
5 12 ÷ 7 = 1 remainder 5
6 7 ÷ 5 = 1 remainder 2
7 5 ÷ 2 = 2 remainder 1
8 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
21 and 1883948
196 and 302940
80 and 1151840
24 and 852040
150 and 1597950

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