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Least Common Multiple (LCM) of 38 and 106

The least common multiple (LCM) of 38 and 106 is 2014.

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 38 and 106?

First, calculate the GCD of 38 and 106 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 38 ÷ 106 = 0 remainder 38
2 106 ÷ 38 = 2 remainder 30
3 38 ÷ 30 = 1 remainder 8
4 30 ÷ 8 = 3 remainder 6
5 8 ÷ 6 = 1 remainder 2
6 6 ÷ 2 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
23 and 872001
168 and 1843864
155 and 11317515
74 and 1324884
145 and 486960

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