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Least Common Multiple (LCM) of 111 and 151

The least common multiple (LCM) of 111 and 151 is 16761.

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 151?

First, calculate the GCD of 111 and 151 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 111 ÷ 151 = 0 remainder 111
2 151 ÷ 111 = 1 remainder 40
3 111 ÷ 40 = 2 remainder 31
4 40 ÷ 31 = 1 remainder 9
5 31 ÷ 9 = 3 remainder 4
6 9 ÷ 4 = 2 remainder 1
7 4 ÷ 1 = 4 remainder 0

Examples of LCM Calculations

NumbersLCM
52 and 1397228
183 and 19211712
71 and 584118
48 and 811296
76 and 1078132

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