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Least Common Multiple (LCM) of 34 and 156

The least common multiple (LCM) of 34 and 156 is 2652.

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 156?

First, calculate the GCD of 34 and 156 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 34 ÷ 156 = 0 remainder 34
2 156 ÷ 34 = 4 remainder 20
3 34 ÷ 20 = 1 remainder 14
4 20 ÷ 14 = 1 remainder 6
5 14 ÷ 6 = 2 remainder 2
6 6 ÷ 2 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
133 and 435719
137 and 354795
157 and 192983
181 and 417421
30 and 741110

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