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Least Common Multiple (LCM) of 49 and 133

The least common multiple (LCM) of 49 and 133 is 931.

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 49 and 133?

First, calculate the GCD of 49 and 133 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 49 ÷ 133 = 0 remainder 49
2 133 ÷ 49 = 2 remainder 35
3 49 ÷ 35 = 1 remainder 14
4 35 ÷ 14 = 2 remainder 7
5 14 ÷ 7 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
164 and 8513940
99 and 676633
129 and 271161
127 and 15619812
24 and 34408

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