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Least Common Multiple (LCM) of 174 and 62

The least common multiple (LCM) of 174 and 62 is 5394.

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 174 and 62?

First, calculate the GCD of 174 and 62 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 174 ÷ 62 = 2 remainder 50
2 62 ÷ 50 = 1 remainder 12
3 50 ÷ 12 = 4 remainder 2
4 12 ÷ 2 = 6 remainder 0

Examples of LCM Calculations

NumbersLCM
119 and 14238
102 and 1648364
191 and 15329223
80 and 1852960
149 and 17526075

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