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Least Common Multiple (LCM) of 34 and 36

The least common multiple (LCM) of 34 and 36 is 612.

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 34 and 36?

First, calculate the GCD of 34 and 36 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 34 ÷ 36 = 0 remainder 34
2 36 ÷ 34 = 1 remainder 2
3 34 ÷ 2 = 17 remainder 0

Examples of LCM Calculations

NumbersLCM
16 and 192192
180 and 935580
154 and 8312782
127 and 739271
200 and 561400

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