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Least Common Multiple (LCM) of 137 and 119

The least common multiple (LCM) of 137 and 119 is 16303.

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 137 and 119?

First, calculate the GCD of 137 and 119 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 137 ÷ 119 = 1 remainder 18
2 119 ÷ 18 = 6 remainder 11
3 18 ÷ 11 = 1 remainder 7
4 11 ÷ 7 = 1 remainder 4
5 7 ÷ 4 = 1 remainder 3
6 4 ÷ 3 = 1 remainder 1
7 3 ÷ 1 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
88 and 1601760
58 and 814698
49 and 1416909
17 and 1717
122 and 17721594

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