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Least Common Multiple (LCM) of 34 and 152

The least common multiple (LCM) of 34 and 152 is 2584.

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 152?

First, calculate the GCD of 34 and 152 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 34 ÷ 152 = 0 remainder 34
2 152 ÷ 34 = 4 remainder 16
3 34 ÷ 16 = 2 remainder 2
4 16 ÷ 2 = 8 remainder 0

Examples of LCM Calculations

NumbersLCM
33 and 72792
117 and 39117
156 and 211092
115 and 14917135
52 and 1121456

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