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Least Common Multiple (LCM) of 52 and 119

The least common multiple (LCM) of 52 and 119 is 6188.

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 52 and 119?

First, calculate the GCD of 52 and 119 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 52 ÷ 119 = 0 remainder 52
2 119 ÷ 52 = 2 remainder 15
3 52 ÷ 15 = 3 remainder 7
4 15 ÷ 7 = 2 remainder 1
5 7 ÷ 1 = 7 remainder 0

Examples of LCM Calculations

NumbersLCM
181 and 18232942
33 and 25825
106 and 1688904
11 and 21231
10 and 116580

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