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Least Common Multiple (LCM) of 168 and 75

The least common multiple (LCM) of 168 and 75 is 4200.

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 168 and 75?

First, calculate the GCD of 168 and 75 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 168 ÷ 75 = 2 remainder 18
2 75 ÷ 18 = 4 remainder 3
3 18 ÷ 3 = 6 remainder 0

Examples of LCM Calculations

NumbersLCM
145 and 12317835
27 and 29783
176 and 383344
162 and 193078
55 and 18610230

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