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Least Common Multiple (LCM) of 176 and 75

The least common multiple (LCM) of 176 and 75 is 13200.

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 176 and 75?

First, calculate the GCD of 176 and 75 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 176 ÷ 75 = 2 remainder 26
2 75 ÷ 26 = 2 remainder 23
3 26 ÷ 23 = 1 remainder 3
4 23 ÷ 3 = 7 remainder 2
5 3 ÷ 2 = 1 remainder 1
6 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
92 and 817452
45 and 72360
12 and 183732
152 and 1711368
124 and 1187316

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