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Least Common Multiple (LCM) of 111 and 62

The least common multiple (LCM) of 111 and 62 is 6882.

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 111 and 62?

First, calculate the GCD of 111 and 62 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 111 ÷ 62 = 1 remainder 49
2 62 ÷ 49 = 1 remainder 13
3 49 ÷ 13 = 3 remainder 10
4 13 ÷ 10 = 1 remainder 3
5 10 ÷ 3 = 3 remainder 1
6 3 ÷ 1 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
10 and 88440
157 and 558635
133 and 13718221
120 and 799480
71 and 1168236

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