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Least Common Multiple (LCM) of 193 and 60

The least common multiple (LCM) of 193 and 60 is 11580.

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 193 and 60?

First, calculate the GCD of 193 and 60 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 193 ÷ 60 = 3 remainder 13
2 60 ÷ 13 = 4 remainder 8
3 13 ÷ 8 = 1 remainder 5
4 8 ÷ 5 = 1 remainder 3
5 5 ÷ 3 = 1 remainder 2
6 3 ÷ 2 = 1 remainder 1
7 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
89 and 12310947
155 and 1454495
59 and 1086372
62 and 26806
193 and 11722581

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