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Least Common Multiple (LCM) of 11 and 68

The least common multiple (LCM) of 11 and 68 is 748.

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 11 and 68?

First, calculate the GCD of 11 and 68 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 11 ÷ 68 = 0 remainder 11
2 68 ÷ 11 = 6 remainder 2
3 11 ÷ 2 = 5 remainder 1
4 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
144 and 679648
60 and 1752100
78 and 1124368
140 and 537420
165 and 19632340

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