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Least Common Multiple (LCM) of 33 and 175

The least common multiple (LCM) of 33 and 175 is 5775.

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 33 and 175?

First, calculate the GCD of 33 and 175 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 33 ÷ 175 = 0 remainder 33
2 175 ÷ 33 = 5 remainder 10
3 33 ÷ 10 = 3 remainder 3
4 10 ÷ 3 = 3 remainder 1
5 3 ÷ 1 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
27 and 611647
117 and 18421528
151 and 558305
193 and 9418142
143 and 1041144

Try Calculating LCM of Other Numbers







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