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Least Common Multiple (LCM) of 146 and 83

The least common multiple (LCM) of 146 and 83 is 12118.

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 146 and 83?

First, calculate the GCD of 146 and 83 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 146 ÷ 83 = 1 remainder 63
2 83 ÷ 63 = 1 remainder 20
3 63 ÷ 20 = 3 remainder 3
4 20 ÷ 3 = 6 remainder 2
5 3 ÷ 2 = 1 remainder 1
6 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
107 and 485136
59 and 392301
69 and 946486
191 and 12824448
188 and 1085076

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