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Least Common Multiple (LCM) of 78 and 133

The least common multiple (LCM) of 78 and 133 is 10374.

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 78 and 133?

First, calculate the GCD of 78 and 133 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 78 ÷ 133 = 0 remainder 78
2 133 ÷ 78 = 1 remainder 55
3 78 ÷ 55 = 1 remainder 23
4 55 ÷ 23 = 2 remainder 9
5 23 ÷ 9 = 2 remainder 5
6 9 ÷ 5 = 1 remainder 4
7 5 ÷ 4 = 1 remainder 1
8 4 ÷ 1 = 4 remainder 0

Examples of LCM Calculations

NumbersLCM
159 and 6810812
37 and 1415217
182 and 16014560
45 and 1451305
122 and 657930

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