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Least Common Multiple (LCM) of 133 and 74

The least common multiple (LCM) of 133 and 74 is 9842.

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 133 and 74?

First, calculate the GCD of 133 and 74 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 133 ÷ 74 = 1 remainder 59
2 74 ÷ 59 = 1 remainder 15
3 59 ÷ 15 = 3 remainder 14
4 15 ÷ 14 = 1 remainder 1
5 14 ÷ 1 = 14 remainder 0

Examples of LCM Calculations

NumbersLCM
39 and 552145
27 and 51459
77 and 362772
169 and 39507
157 and 8513345

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