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Least Common Multiple (LCM) of 83 and 101

The least common multiple (LCM) of 83 and 101 is 8383.

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 83 and 101?

First, calculate the GCD of 83 and 101 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 83 ÷ 101 = 0 remainder 83
2 101 ÷ 83 = 1 remainder 18
3 83 ÷ 18 = 4 remainder 11
4 18 ÷ 11 = 1 remainder 7
5 11 ÷ 7 = 1 remainder 4
6 7 ÷ 4 = 1 remainder 3
7 4 ÷ 3 = 1 remainder 1
8 3 ÷ 1 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
141 and 294089
89 and 14112549
93 and 222046
112 and 49784
150 and 19729550

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