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Least Common Multiple (LCM) of 175 and 91

The least common multiple (LCM) of 175 and 91 is 2275.

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 175 and 91?

First, calculate the GCD of 175 and 91 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 175 ÷ 91 = 1 remainder 84
2 91 ÷ 84 = 1 remainder 7
3 84 ÷ 7 = 12 remainder 0

Examples of LCM Calculations

NumbersLCM
142 and 14410224
162 and 512754
49 and 1919359
52 and 1357020
114 and 57114

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