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Least Common Multiple (LCM) of 68 and 10

The least common multiple (LCM) of 68 and 10 is 340.

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 68 and 10?

First, calculate the GCD of 68 and 10 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 68 ÷ 10 = 6 remainder 8
2 10 ÷ 8 = 1 remainder 2
3 8 ÷ 2 = 4 remainder 0

Examples of LCM Calculations

NumbersLCM
56 and 64448
26 and 1101430
93 and 1504650
97 and 1009700
105 and 25525

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