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Least Common Multiple (LCM) of 151 and 110

The least common multiple (LCM) of 151 and 110 is 16610.

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 151 and 110?

First, calculate the GCD of 151 and 110 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 151 ÷ 110 = 1 remainder 41
2 110 ÷ 41 = 2 remainder 28
3 41 ÷ 28 = 1 remainder 13
4 28 ÷ 13 = 2 remainder 2
5 13 ÷ 2 = 6 remainder 1
6 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
31 and 1163596
181 and 5810498
52 and 1517852
56 and 18504
61 and 291769

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