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Least Common Multiple (LCM) of 74 and 34

The least common multiple (LCM) of 74 and 34 is 1258.

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 74 and 34?

First, calculate the GCD of 74 and 34 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 74 ÷ 34 = 2 remainder 6
2 34 ÷ 6 = 5 remainder 4
3 6 ÷ 4 = 1 remainder 2
4 4 ÷ 2 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
62 and 742294
176 and 12611088
60 and 291740
193 and 458685
128 and 1201920

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