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Least Common Multiple (LCM) of 34 and 49

The least common multiple (LCM) of 34 and 49 is 1666.

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 49?

First, calculate the GCD of 34 and 49 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 34 ÷ 49 = 0 remainder 34
2 49 ÷ 34 = 1 remainder 15
3 34 ÷ 15 = 2 remainder 4
4 15 ÷ 4 = 3 remainder 3
5 4 ÷ 3 = 1 remainder 1
6 3 ÷ 1 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
159 and 784134
121 and 10312463
39 and 991287
189 and 108756
87 and 27783

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