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Least Common Multiple (LCM) of 10 and 34

The least common multiple (LCM) of 10 and 34 is 170.

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 10 and 34?

First, calculate the GCD of 10 and 34 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 10 ÷ 34 = 0 remainder 10
2 34 ÷ 10 = 3 remainder 4
3 10 ÷ 4 = 2 remainder 2
4 4 ÷ 2 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
95 and 1995
194 and 5711058
42 and 147294
69 and 1137797
118 and 19011210

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