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Least Common Multiple (LCM) of 15 and 174

The least common multiple (LCM) of 15 and 174 is 870.

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 15 and 174?

First, calculate the GCD of 15 and 174 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 15 ÷ 174 = 0 remainder 15
2 174 ÷ 15 = 11 remainder 9
3 15 ÷ 9 = 1 remainder 6
4 9 ÷ 6 = 1 remainder 3
5 6 ÷ 3 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
33 and 341122
188 and 112068
120 and 45360
92 and 514692
34 and 1133842

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